3.3 Prove that does not converge uniformly on R. k! k=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
Topic Video
Question

help with 3.3

3.1 State the Weierstrass M test theorem.
3.2 Show that)
k=1
sin kæ) is uniformly convergent on (-∞, 0).
3.3 Prove that
does not converge uniformly on R.
k!
converges to a continuous function on R.
k!
3.4 Show that
Transcribed Image Text:3.1 State the Weierstrass M test theorem. 3.2 Show that) k=1 sin kæ) is uniformly convergent on (-∞, 0). 3.3 Prove that does not converge uniformly on R. k! converges to a continuous function on R. k! 3.4 Show that
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