a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b. Write the power series using summation notation. f(x) = e * , a= In 9 a. The first nonzero term of the Taylor series is (Type an exact answer.) The second nonzero term of the Taylor series is (Type an exact answer.) The third nonzero term of the Taylor series is (Type an exact answer.) The fourth nonzero term of the Taylor series is O. (Type an exact answer.) b. Write the power series using summation notation. 00 EO Type an exact answer.) k=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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a. Find the first four nonzero terms of the Taylor series for the given function centered at a.
b. Write the power series using summation notation.
f(x) = ex, a= In 9
.....
a. The first nonzero term of the Taylor series is
(Type an exact answer.)
The second nonzero term of the Taylor series is. (Type an exact answer.)
The third nonzero term of the Taylor series is
(Type an exact answer.)
The fourth nonzero term of the Taylor series is
(Type an exact answer.)
b. Write the power series using summation notation.
Σ
(Type an exact answer.)
k=0
Transcribed Image Text:a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b. Write the power series using summation notation. f(x) = ex, a= In 9 ..... a. The first nonzero term of the Taylor series is (Type an exact answer.) The second nonzero term of the Taylor series is. (Type an exact answer.) The third nonzero term of the Taylor series is (Type an exact answer.) The fourth nonzero term of the Taylor series is (Type an exact answer.) b. Write the power series using summation notation. Σ (Type an exact answer.) k=0
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