(a) By differentiating a suitable number of times, obtain the Maclaurin series of ex in ascending powers of x up to the term in x³. (b) Write down the Maclaurin series of e** - e-4*. (c) Use your answer to part b) to find an approximate value of e0.2 1 80.2 m Give your answer in the form where m and n are integers. - n

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8
(a) By differentiating a suitable number of times, obtain the Maclaurin series of
ex in ascending powers of x up to the term in x³.
(b) Write down the Maclaurin series of e** - e-4*.
(c) Use your answer to part b) to find an approximate value of e0.2 1
80.2
m
Give your answer in the form where m and n are integers.
-
n
Transcribed Image Text:(a) By differentiating a suitable number of times, obtain the Maclaurin series of ex in ascending powers of x up to the term in x³. (b) Write down the Maclaurin series of e** - e-4*. (c) Use your answer to part b) to find an approximate value of e0.2 1 80.2 m Give your answer in the form where m and n are integers. - n
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