g(t) = e-º. (a) Find the Maclaurin series for g(t), stating your answer using sigma notation. (b) Using your answer from part (a), find the Maclaurin series for h(x) = e dt stating your answer using sigma notation. (c) Use your answer in part (b) to evaluate h(1) to two decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Consider the function
9(t) = e-.
(a) Find the Maclaurin series for g(t), stating your answer using sigma notation.
(b) Using your answer from part (a), find the Maclaurin series for
h(x):
dt
=
stating your answer using sigma notation.
(c) Use your answer in part (b) to evaluate h(1) to two decimal places.
Transcribed Image Text:Consider the function 9(t) = e-. (a) Find the Maclaurin series for g(t), stating your answer using sigma notation. (b) Using your answer from part (a), find the Maclaurin series for h(x): dt = stating your answer using sigma notation. (c) Use your answer in part (b) to evaluate h(1) to two decimal places.
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