3. Find the Taylor series expansion, up to the seventh (7th) derivative, o the following given functions, at the given centre a: (a) f(x) = -√√x at a = 8; (b) g(x) = cos²x at a = (c) f(x) = 1 (1+x)³ at a = 1;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Find the Taylor series expansion, up to the seventh (7th) derivative, of
the following given functions, at the given centre a:
(a) f(x) = -√√x at a = 8;
(b) g(x) = cos²x at a =
(c) f(x) =
1
(1 + x)³
3
=;
at a = 1;
Transcribed Image Text:3. Find the Taylor series expansion, up to the seventh (7th) derivative, of the following given functions, at the given centre a: (a) f(x) = -√√x at a = 8; (b) g(x) = cos²x at a = (c) f(x) = 1 (1 + x)³ 3 =; at a = 1;
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