What is the value of the function at x=3
1 answer:
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This is probably asking you to consider the symmetry of f(x). If f(x) is equal to f(-x), then f is symmetric about the origin. If f(x) is equal to -f(x), then f is symmetric about the y-axis.
Assuming convergence of the sequence, we have for some limit
as
. This also means
. So in the above equation, we can substitute and solve for
:
The limit can only be one of these values; otherwise, the sequence would be divergent. To decide which one is correct, we can observe that the sequence is strictly positive. So .