Let {an} be a convergent sequence with limno ana. Let me N. Prove, N using the comparison principle, that the sequence {(a)"} converges to a. Notes: • Hint: notice that |()™-am| Show Tra is a difference of powers. • You are not allowed use the product property of limits to prove this result.
Let {an} be a convergent sequence with limno ana. Let me N. Prove, N using the comparison principle, that the sequence {(a)"} converges to a. Notes: • Hint: notice that |()™-am| Show Tra is a difference of powers. • You are not allowed use the product property of limits to prove this result.
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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![Let {a} be a convergent sequence with limno ana. Let me N. Prove,
using the comparison principle, that the sequence {(a)"} converges to a.
Note
Hint: notice that
|(a)-am|
Show Tra
is a difference of powers.
• You are not allowed use the product property of limits to prove this result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff462c744-5cc4-47b6-bba3-d67229227499%2F26b6ad55-5158-465c-9685-dab6ba16e0ac%2F4l83cx.jpeg&w=3840&q=75)
Transcribed Image Text:Let {a} be a convergent sequence with limno ana. Let me N. Prove,
using the comparison principle, that the sequence {(a)"} converges to a.
Note
Hint: notice that
|(a)-am|
Show Tra
is a difference of powers.
• You are not allowed use the product property of limits to prove this result.
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