lim sin(k/n). 1. cos(1) +5/3. 2. cos(1) +1/3. 3. cos(1) +2/3 4. cos(1) – 1/3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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*
lim 22 sin(k/n).
is
1. cos(1) + 5/3.
2. cos(1) + 1/3.
3. cos(1) + 2/3
4. cos(1) – 1/3.
O 2
Let (fn)n be a sequence of functions fn: [0, 1] → R defined by f„l
Then
1. f, converges to 0 pointwisely on [0, 1] since f, converges to
2. fn converges to f = 0 uniformly on [0, 1] and thus fn(x)d_
3. f converges to 0 pointwiselv on (0, 1] but not uniformly.
to 1
Transcribed Image Text:2:56 e docs.google.com * lim 22 sin(k/n). is 1. cos(1) + 5/3. 2. cos(1) + 1/3. 3. cos(1) + 2/3 4. cos(1) – 1/3. O 2 Let (fn)n be a sequence of functions fn: [0, 1] → R defined by f„l Then 1. f, converges to 0 pointwisely on [0, 1] since f, converges to 2. fn converges to f = 0 uniformly on [0, 1] and thus fn(x)d_ 3. f converges to 0 pointwiselv on (0, 1] but not uniformly. to 1
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