Infinite series sum
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What is the sum of $$sumlimits_n=1^inftycos((2n-1)x)$$ and what is
$$sumlimits_n=0^inftycos(2nx)$$
I have got the infinte series sum of $cos x$ but didn't know how to get that.
sequences-and-series
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up vote
0
down vote
favorite
What is the sum of $$sumlimits_n=1^inftycos((2n-1)x)$$ and what is
$$sumlimits_n=0^inftycos(2nx)$$
I have got the infinte series sum of $cos x$ but didn't know how to get that.
sequences-and-series
I have edited your question. Please format your questions as I did with LaTeX or MathJax
– Ahmad Bazzi
Sep 11 at 3:06
2
and what is the " ... infinte series sum of $cos x$ ... " ?
– Ahmad Bazzi
Sep 11 at 3:15
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
What is the sum of $$sumlimits_n=1^inftycos((2n-1)x)$$ and what is
$$sumlimits_n=0^inftycos(2nx)$$
I have got the infinte series sum of $cos x$ but didn't know how to get that.
sequences-and-series
What is the sum of $$sumlimits_n=1^inftycos((2n-1)x)$$ and what is
$$sumlimits_n=0^inftycos(2nx)$$
I have got the infinte series sum of $cos x$ but didn't know how to get that.
sequences-and-series
sequences-and-series
edited Sep 11 at 3:05
Ahmad Bazzi
7,4912724
7,4912724
asked Sep 11 at 3:02
Sweta
254
254
I have edited your question. Please format your questions as I did with LaTeX or MathJax
– Ahmad Bazzi
Sep 11 at 3:06
2
and what is the " ... infinte series sum of $cos x$ ... " ?
– Ahmad Bazzi
Sep 11 at 3:15
add a comment |
I have edited your question. Please format your questions as I did with LaTeX or MathJax
– Ahmad Bazzi
Sep 11 at 3:06
2
and what is the " ... infinte series sum of $cos x$ ... " ?
– Ahmad Bazzi
Sep 11 at 3:15
I have edited your question. Please format your questions as I did with LaTeX or MathJax
– Ahmad Bazzi
Sep 11 at 3:06
I have edited your question. Please format your questions as I did with LaTeX or MathJax
– Ahmad Bazzi
Sep 11 at 3:06
2
2
and what is the " ... infinte series sum of $cos x$ ... " ?
– Ahmad Bazzi
Sep 11 at 3:15
and what is the " ... infinte series sum of $cos x$ ... " ?
– Ahmad Bazzi
Sep 11 at 3:15
add a comment |
1 Answer
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Since $a_n = cos 2nx $ does not go to zero. So
$$sumlimits_n=0^infty cos 2nx $$
diverges. What can you say about the other sum ?
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
Since $a_n = cos 2nx $ does not go to zero. So
$$sumlimits_n=0^infty cos 2nx $$
diverges. What can you say about the other sum ?
add a comment |
up vote
2
down vote
Since $a_n = cos 2nx $ does not go to zero. So
$$sumlimits_n=0^infty cos 2nx $$
diverges. What can you say about the other sum ?
add a comment |
up vote
2
down vote
up vote
2
down vote
Since $a_n = cos 2nx $ does not go to zero. So
$$sumlimits_n=0^infty cos 2nx $$
diverges. What can you say about the other sum ?
Since $a_n = cos 2nx $ does not go to zero. So
$$sumlimits_n=0^infty cos 2nx $$
diverges. What can you say about the other sum ?
answered Sep 11 at 3:17
Ahmad Bazzi
7,4912724
7,4912724
add a comment |
add a comment |
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I have edited your question. Please format your questions as I did with LaTeX or MathJax
– Ahmad Bazzi
Sep 11 at 3:06
2
and what is the " ... infinte series sum of $cos x$ ... " ?
– Ahmad Bazzi
Sep 11 at 3:15