What is the value of: lim as x appraches -2 from the right of (g(x) + 3g(-x))?

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Im pretty confused about this question. How would i go about finding out the answer?
I'm specifically confused about the negative x. I got 10 but i feel as if it is wrong.
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    up vote
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    Im pretty confused about this question. How would i go about finding out the answer?
    I'm specifically confused about the negative x. I got 10 but i feel as if it is wrong.
    enter image description here



    enter image description here










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      up vote
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      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      Im pretty confused about this question. How would i go about finding out the answer?
      I'm specifically confused about the negative x. I got 10 but i feel as if it is wrong.
      enter image description here



      enter image description here










      share|cite|improve this question













      Im pretty confused about this question. How would i go about finding out the answer?
      I'm specifically confused about the negative x. I got 10 but i feel as if it is wrong.
      enter image description here



      enter image description here







      calculus limits






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      asked Sep 11 at 2:42









      rico

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          Since we are taking the limit from the left of -2 but are now dealing with a -x we are actually approaching 2 from the right in the 3g(-x). We can see this by considering a simple sequence approaching -2 from the left such as -3, -2.5, -2.25, -2.125, etc. This will approach -2 from the left but if we use -x we get a sequence 3, 2.5, 2.25, 2.125 etc. As such we can now see that the 3g(-x) should be 3 as the limit as x approaches 2 from the right is 1.






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            Since we are taking the limit from the left of -2 but are now dealing with a -x we are actually approaching 2 from the right in the 3g(-x). We can see this by considering a simple sequence approaching -2 from the left such as -3, -2.5, -2.25, -2.125, etc. This will approach -2 from the left but if we use -x we get a sequence 3, 2.5, 2.25, 2.125 etc. As such we can now see that the 3g(-x) should be 3 as the limit as x approaches 2 from the right is 1.






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              up vote
              0
              down vote













              Since we are taking the limit from the left of -2 but are now dealing with a -x we are actually approaching 2 from the right in the 3g(-x). We can see this by considering a simple sequence approaching -2 from the left such as -3, -2.5, -2.25, -2.125, etc. This will approach -2 from the left but if we use -x we get a sequence 3, 2.5, 2.25, 2.125 etc. As such we can now see that the 3g(-x) should be 3 as the limit as x approaches 2 from the right is 1.






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                up vote
                0
                down vote










                up vote
                0
                down vote









                Since we are taking the limit from the left of -2 but are now dealing with a -x we are actually approaching 2 from the right in the 3g(-x). We can see this by considering a simple sequence approaching -2 from the left such as -3, -2.5, -2.25, -2.125, etc. This will approach -2 from the left but if we use -x we get a sequence 3, 2.5, 2.25, 2.125 etc. As such we can now see that the 3g(-x) should be 3 as the limit as x approaches 2 from the right is 1.






                share|cite|improve this answer












                Since we are taking the limit from the left of -2 but are now dealing with a -x we are actually approaching 2 from the right in the 3g(-x). We can see this by considering a simple sequence approaching -2 from the left such as -3, -2.5, -2.25, -2.125, etc. This will approach -2 from the left but if we use -x we get a sequence 3, 2.5, 2.25, 2.125 etc. As such we can now see that the 3g(-x) should be 3 as the limit as x approaches 2 from the right is 1.







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                answered Sep 11 at 2:52









                sf23

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