1. Using known Taylor series, find the first four nonzero terms of the Taylor series about 0 for each of the following: (a) cos(0²) (b) (c) 2. Expand the expression about 0 in terms of the variable given. Find the first four nonzero terms: (a) 2, in terms of (b) Tatrz in terms of (a+r)² (c) Va²+æ² in terms of where a > 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Write the fourth nonzero term in the Taylor series for each function, centered at zero

1. Using known Taylor series, find the first four nonzero terms of the Taylor series about 0 for each of the
following:
(a) cos(0²)
(b)
(c)
1
2. Expand the expression about 0 in terms of the variable given. Find the first four nonzero terms:
1
(a)
in terms of
2+x
1
(b)
(a+r)²
in terms of I
(c) Jata?
in terms of where a > 0
a
a
Transcribed Image Text:1. Using known Taylor series, find the first four nonzero terms of the Taylor series about 0 for each of the following: (a) cos(0²) (b) (c) 1 2. Expand the expression about 0 in terms of the variable given. Find the first four nonzero terms: 1 (a) in terms of 2+x 1 (b) (a+r)² in terms of I (c) Jata? in terms of where a > 0 a a
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