9. Let I be a an interval and f: IR be uniformly continuous. Let {rn} be a sequence in I. Show that if {f(x)} is a Cauchy sequence, then {r,) is a Cauchy sequence.

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Hello I need help solving those math problems

9. Let I be a an interval and f: IR be uniformly continuous. Let {n} be a sequence in I.
Show that if {f(n)} is a Cauchy sequence, then {n}) is a Cauchy sequence.
Transcribed Image Text:9. Let I be a an interval and f: IR be uniformly continuous. Let {n} be a sequence in I. Show that if {f(n)} is a Cauchy sequence, then {n}) is a Cauchy sequence.
2. Let f:I-R, where I is an interval and re I. Suppose
= 0.
lim [f(a+h) + f(x-h) - 2f(x)] =
inle
Transcribed Image Text:2. Let f:I-R, where I is an interval and re I. Suppose = 0. lim [f(a+h) + f(x-h) - 2f(x)] = inle
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