1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that the sequence {2} is divergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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Use the definition of a sequence

1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit.
2. Prove that the sequence {2"}_₁ is divergent.
n=1
Transcribed Image Text:1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that the sequence {2"}_₁ is divergent. n=1
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