1. Let fn(x) uniformly on [0, a]. Show that the convergence is not uniform on [0, ∞]. for n E N. Show that if a > 0, then fn converges to zero x+n

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.2: Graphs Of Exponential Functions
Problem 52SE: Prove the conjecture made in the previous exercise.
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1. Let fn(x)
uniformly on [0, a]. Show that the convergence is not uniform on [0, ∞).
for n E N. Show that if a > 0, then fn converges to zero
x+n
Transcribed Image Text:1. Let fn(x) uniformly on [0, a]. Show that the convergence is not uniform on [0, ∞). for n E N. Show that if a > 0, then fn converges to zero x+n
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