x x* 2!' 4! four terms of expansion for xcos (3x) + 2x +1. (a) Show that 1- is the power series expansion for cos x. Hence, find the first +2r (b) Use the Divergence Test to determine whether the series converges or 4r-3r diverges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
icon
Related questions
Question
QUESTION 3
(a) Show that 1
is the power series expansion for cos x. Hence, find the first
2! 4!
four terms of expansion for xcos (3x) +2.x +1.
+2,?
(b) Use the Divergence Test to determine whether the series
converges or
4r – 3r
diverges.
Transcribed Image Text:QUESTION 3 (a) Show that 1 is the power series expansion for cos x. Hence, find the first 2! 4! four terms of expansion for xcos (3x) +2.x +1. +2,? (b) Use the Divergence Test to determine whether the series converges or 4r – 3r diverges.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage