How are convergence tests proved? [closed]
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Is it intuitive or are there formal methods for why do convergence tests work?
sequences-and-series convergence
closed as too broad by José Carlos Santos, m_t_, amWhy, Henrik, choco_addicted Sep 2 at 10:30
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
0
down vote
favorite
Is it intuitive or are there formal methods for why do convergence tests work?
sequences-and-series convergence
closed as too broad by José Carlos Santos, m_t_, amWhy, Henrik, choco_addicted Sep 2 at 10:30
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
This is too broad. Do you have a specific test in mind?
â TheSimpliFire
Sep 2 at 8:56
D'Alembert's test,Raabe's test etc
â Krishna Deshmukh
Sep 2 at 8:58
Textbooks in analysis do include proofs.
â Lord Shark the Unknown
Sep 2 at 9:19
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Is it intuitive or are there formal methods for why do convergence tests work?
sequences-and-series convergence
Is it intuitive or are there formal methods for why do convergence tests work?
sequences-and-series convergence
sequences-and-series convergence
asked Sep 2 at 8:56
Krishna Deshmukh
146
146
closed as too broad by José Carlos Santos, m_t_, amWhy, Henrik, choco_addicted Sep 2 at 10:30
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as too broad by José Carlos Santos, m_t_, amWhy, Henrik, choco_addicted Sep 2 at 10:30
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
This is too broad. Do you have a specific test in mind?
â TheSimpliFire
Sep 2 at 8:56
D'Alembert's test,Raabe's test etc
â Krishna Deshmukh
Sep 2 at 8:58
Textbooks in analysis do include proofs.
â Lord Shark the Unknown
Sep 2 at 9:19
add a comment |Â
This is too broad. Do you have a specific test in mind?
â TheSimpliFire
Sep 2 at 8:56
D'Alembert's test,Raabe's test etc
â Krishna Deshmukh
Sep 2 at 8:58
Textbooks in analysis do include proofs.
â Lord Shark the Unknown
Sep 2 at 9:19
This is too broad. Do you have a specific test in mind?
â TheSimpliFire
Sep 2 at 8:56
This is too broad. Do you have a specific test in mind?
â TheSimpliFire
Sep 2 at 8:56
D'Alembert's test,Raabe's test etc
â Krishna Deshmukh
Sep 2 at 8:58
D'Alembert's test,Raabe's test etc
â Krishna Deshmukh
Sep 2 at 8:58
Textbooks in analysis do include proofs.
â Lord Shark the Unknown
Sep 2 at 9:19
Textbooks in analysis do include proofs.
â Lord Shark the Unknown
Sep 2 at 9:19
add a comment |Â
1 Answer
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active
oldest
votes
up vote
1
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accepted
Convergence test is just a name to denote a series of theorems which of course are specifically proved in rigorous and formal way.
Refer also to Convergence Tests Proofs.
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
1
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
 |Â
show 3 more comments
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
Convergence test is just a name to denote a series of theorems which of course are specifically proved in rigorous and formal way.
Refer also to Convergence Tests Proofs.
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
1
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
 |Â
show 3 more comments
up vote
1
down vote
accepted
Convergence test is just a name to denote a series of theorems which of course are specifically proved in rigorous and formal way.
Refer also to Convergence Tests Proofs.
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
1
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
 |Â
show 3 more comments
up vote
1
down vote
accepted
up vote
1
down vote
accepted
Convergence test is just a name to denote a series of theorems which of course are specifically proved in rigorous and formal way.
Refer also to Convergence Tests Proofs.
Convergence test is just a name to denote a series of theorems which of course are specifically proved in rigorous and formal way.
Refer also to Convergence Tests Proofs.
edited Sep 2 at 9:02
answered Sep 2 at 8:58
gimusi
72.2k73888
72.2k73888
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
1
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
 |Â
show 3 more comments
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
1
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
I wanted to ask, how do we know they work? In my Math classes, there is no proof given, only theorem statements..So how did the mathematicians arrive at those tests?
â Krishna Deshmukh
Sep 2 at 9:00
1
1
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
@KrishnaDeshmukh: Find some better math classes to attend.
â Henning Makholm
Sep 2 at 9:01
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
Ha. Can you provide some sources?Like online or books.
â Krishna Deshmukh
Sep 2 at 9:02
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@KrishnaDeshmukh As already explained they are called "test" as a name but of course they are theorems. I've added a link with many proof.
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
@HenningMakholm LoL! That's a good suggestion!
â gimusi
Sep 2 at 9:03
 |Â
show 3 more comments
This is too broad. Do you have a specific test in mind?
â TheSimpliFire
Sep 2 at 8:56
D'Alembert's test,Raabe's test etc
â Krishna Deshmukh
Sep 2 at 8:58
Textbooks in analysis do include proofs.
â Lord Shark the Unknown
Sep 2 at 9:19