(Q4) Prove that if f : R → R is continuous function, and (n;)ien is a sequence of non-zero natural numbers, then the sequence ni iEN has a converging subsequence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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(Q4) Prove that if f : R → R is continuous function, and (n¡)ieN is a sequence
of non-zero natural numbers, then the sequence
(+).
iEN
has a converging subsequence.
Transcribed Image Text:(Q4) Prove that if f : R → R is continuous function, and (n¡)ieN is a sequence of non-zero natural numbers, then the sequence (+). iEN has a converging subsequence.
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