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5. Let yı := n √p, where p > 0, and yn+1 := √p+y, for nЄ N. Show that (y) converges and find the limit. [Hint: One upper bound is 1+2√p.]

5. Let yı := n √p, where p > 0, and yn+1 := √p+y, for nЄ N. Show that (y) converges and find the limit. [Hint: One upper bound is 1+2√p.]

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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3.3.5 Intro to Real Analysis 

√√p+y, for n = N. Show that (yn) converges and find 5. Let yı =; √p, where p > 0, and Yn+1 =: the limit. [Hint: One upper bound is 1+2√p.] n
Transcribed Image Text:√√p+y, for n = N. Show that (yn) converges and find 5. Let yı =; √p, where p > 0, and Yn+1 =: the limit. [Hint: One upper bound is 1+2√p.] n
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