4. Determine the convergence behavior of the series Σan for:(a) an√n+1-√n(b) an =(√n+1-√√n)/n Hint: use (a - b)=(c) an(n-1)"==a²-6²a+b

This question is about sequence and series.

Answered: 4. Determine the convergence behavior…

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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4. Determine the convergence behavior of the series Σan for: (a) an √n+1-√n (b) an =(√n+1-√√n)/n Hint: use (a - b) = (c) an (n-1)" = = a²-6² a+b