1 Define the function of by cos(27") 3n f(x) = Σ n=0 a) Use the Weierstrass M-test to show that f is continuous for all 2 € R. b) Show that f is uniformly continuous on all of R.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Define the function f by
f(x) = cos(27¹)
3n
n=0
a) Use the Weierstrass M-test to show that f is continuous for all x € R.
b) Show that f is uniformly continuous on all of R.
Transcribed Image Text:Define the function f by f(x) = cos(27¹) 3n n=0 a) Use the Weierstrass M-test to show that f is continuous for all x € R. b) Show that f is uniformly continuous on all of R.
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