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B.
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C.
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D.
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E.
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11. What is the Taylor series for the function f(x) = e2x+1 about x = -1?
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B.
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C.
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D.
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E.
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Solution: The answer is B
In general the Taylor series for a function f(x) about x = a is given by,
where, f(n)(a) is the nth derivative of f(x) evaluated at x = a.
The nth derivative of the given function f(x) = e2x+1 can be determined by the following iterations:
So that f(n)(-1) = 2n/e and the Taylor series is given by,
