Determine if the sequence converges or diverges. If it converges find the limit. If it diverges, the limit will not exist so the answer will be DNE. {1/5, 1, 1/6, 1/2, 1/7, 1/3, 1/8, 1/4}

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

Determine if the sequence converges or diverges. If it converges find the limit. If it diverges, the limit will not exist so the answer will be DNE.

{1/5, 1, 1/6, 1/2, 1/7, 1/3, 1/8, 1/4}

Expert Solution
Step 1

A sequence {Un} is convergent to the limit L iff all of its subsequences converges to L.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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