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(Extra credit, 5 points) Let a > 0 and lim∞ an = a > 0. Show that lim∞ √√an = √√a. - [Hint: √an√√a = (an - a) / (√an + √√a).] ED CAR

(Extra credit, 5 points) Let a > 0 and lim∞ an = a > 0. Show that lim∞ √√an = √√a. - [Hint: √an√√a = (an - a) / (√an + √√a).] ED CAR

Advanced Engineering Mathematics
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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(Extra credit, 5 points) Let a > 0 and lim∞ an = a > 0. Show that lim∞ √√an = √√a. - [Hint: √an√√a = (an - a) / (√an + √√a).] ED CAR
Transcribed Image Text:(Extra credit, 5 points) Let a > 0 and lim∞ an = a > 0. Show that lim∞ √√an = √√a. - [Hint: √an√√a = (an - a) / (√an + √√a).] ED CAR
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