To find: If the function
Explanation of Solution
Given information:
The function
Expand the given series gives:
In order to prove if function g has McLaurin series then first we check whether the series converges.
Suppose
The exponential series is of the form
Hence the exponential series converges for all
This gives the idea that exponential series converges in the interval
Therefore if function g has McLaurin series
Now to find the coefficients of Maclaurin series it must evaluate
If the function is exponential that is
It can be seen from the graph that all the derivative of
Maclaurin series coefficients,
For
For
Similarly more coefficient at
The series will be in the form:
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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