Transcribed Image Text: 00 Suppose the Taylor series about a = 0 for the function f(x) is > (n + 2)x” and the n=0 00

Transcribed Image Text: 00
Suppose the Taylor series about a = 0 for the function f(x) is > (n + 2)x” and the
n=0
00
Taylor series about x
O for the function g(x) is
(Watch out! The series
n+1
n=1
1, rather than n =
for g(x) begins with n =
that is, the constant up through a2 terms — of the Taylor series about r = 0 for the
function f(g(x)).
0.) Determine the first three terms —
3
a) 2+
8.
2+
3
14
2 +
2.
32
(b) Transcribed Image Text: 3.
O al 2+
2
8.
O b) 2+
3
2
3
14
c) 2+
2
3
d)
17
6.
3
2+-x + 2×2
el 2+
2

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