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for n > 1. Show that lim an exists and find the limit. 2 An 4. Let a1 = 1, аn+1 %3D n00

for n > 1. Show that lim an exists and find the limit. 2 An 4. Let a1 = 1, аn+1 %3D n00

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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Hoping to get some help on #4 in showing the limit exists and finding it.
2n + 1 1. Use the definition to prove that the sequence is Cauchy nEN 2. Let x E (0, 1), use e – d to prove V4+x – 2 lim 1 4 3. Let a, b, c, d E R. Define explicitly a bijection from [a, b] onto [c, d]. an 4. Let a1 = 1, An+1 = for n > 1. Show that lim an exists and find the limit. V 2 5. Prove or disprove that if {a,} and {b,} are Cauchy and b, # 0. Then San l is Cauchy
Transcribed Image Text:2n + 1 1. Use the definition to prove that the sequence is Cauchy nEN 2. Let x E (0, 1), use e – d to prove V4+x – 2 lim 1 4 3. Let a, b, c, d E R. Define explicitly a bijection from [a, b] onto [c, d]. an 4. Let a1 = 1, An+1 = for n > 1. Show that lim an exists and find the limit. V 2 5. Prove or disprove that if {a,} and {b,} are Cauchy and b, # 0. Then San l is Cauchy
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