12) Given a power series E anx", if lim da+1= L where 0 < L < o, then the radius an n=0 1 of convergence is L' a) True b) False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
icon
Related questions
Question
12) Given a power series anx", if lim
An+1 = L where 0 < L < ∞, then the radius
an
n=0
n00
1
of convergence is
-
L'
a) True
b) False
Transcribed Image Text:12) Given a power series anx", if lim An+1 = L where 0 < L < ∞, then the radius an n=0 n00 1 of convergence is - L' a) True b) False
an+1
13) Given a power series anx", if lim
= 0, then the power series converges
an
n=0
for all x E R.
a) True
b) False
Transcribed Image Text:an+1 13) Given a power series anx", if lim = 0, then the power series converges an n=0 for all x E R. a) True b) False
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax