(c) Find the first four nonzero terms of the Maclaurin Series for the given functions. (d) Write the power series using summation notation (i) f(x) = In(2+x) (ii) f(x) = e* %3|

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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Please help with questions c and d

(a) Find the first four nonzero terms of Taylor Series for the given function centered at a + 0
(b) Write the power series using summation notation.
(i) f(x) = ex , a = ln4
(ii) f(x) = Inx , a = 3
(c) Find the first four nonzero terms of the Maclaurin Series for the given functions.
(d) Write the power series using summation notation
(i) f(x) = In(2+x)
(ii) f(x) = e*
Transcribed Image Text:(a) Find the first four nonzero terms of Taylor Series for the given function centered at a + 0 (b) Write the power series using summation notation. (i) f(x) = ex , a = ln4 (ii) f(x) = Inx , a = 3 (c) Find the first four nonzero terms of the Maclaurin Series for the given functions. (d) Write the power series using summation notation (i) f(x) = In(2+x) (ii) f(x) = e*
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