Sample-A- Q: Test the series converges, diverges, absolutely converges or conditionally converges: 1) Σn=12√n+ ³√n 1

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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Sample --A-
Q: Test the series converges, diverges, absolutely converges or
conditionally converges:
1) Σ=1
1
2√n+ ³√n
Transcribed Image Text:Sample --A- Q: Test the series converges, diverges, absolutely converges or conditionally converges: 1) Σ=1 1 2√n+ ³√n
Expert Solution
Step 1: Step 1

W e space h a v e space t h e space f o l l o w i n g space s e r i e s

sum from n equals 1 to infinity of fraction numerator 1 over denominator 2 square root of n plus cube root of n end fraction

F o r space a l l space n space i n space straight natural numbers
square root of n greater or equal than cube root of n
3 square root of n greater or equal than 2 square root of n plus cube root of n
fraction numerator 1 over denominator 2 square root of n plus cube root of n end fraction greater or equal than fraction numerator 1 over denominator 3 square root of n end fraction

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