3.3 Prove that 3.4 Show that k=0 k! does not converge uniformly on R. converges to a continuous function on R.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3.3 AND 3.4

3.1 State the Weierstrass M test theorem.
3.2 Show that
sin kr) is uniformly convergent on (-00, 00).
3.3 Prove that
does not converge uniformly on R.
3.4 Show that
converges to a continuous function on R.
k=0
IM: IM: IM8
Transcribed Image Text:3.1 State the Weierstrass M test theorem. 3.2 Show that sin kr) is uniformly convergent on (-00, 00). 3.3 Prove that does not converge uniformly on R. 3.4 Show that converges to a continuous function on R. k=0 IM: IM: IM8
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