Problem 59. Let b be a nonzero real number with |b| < 1 and let E > 0. (a) Solve the inequality |b|" < e for n (b) Use part (a) to prove lim,b" = 0.
Problem 59. Let b be a nonzero real number with |b| < 1 and let E > 0. (a) Solve the inequality |b|" < e for n (b) Use part (a) to prove lim,b" = 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#59 part b
Expert Solution
Step 1
We have to show that where b is a nonzero real number with
.
We know that , where L is a real number, if and only if for
there exists a positive integer m such that for all .
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