Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Prove that {x_n} converges. Need to use info in a) and b)
Transcribed Image Text:(a) Prove that for any a, b e R,
| f(a) – f(b)|
а - b
(b) Define a sequence by rn = f(xn-1) starting at some fixed ro E R. Prove
|In+1 – In| <|Tn – Tn-1|-
(c) Prove that {Tn} converges in R.
(d) Prove that there exists a E R such that f(a) = a.
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