1 COS- - { * ! 0, 24. f(x) = x #0 and g(x) { 1² cos 140 x=0 (a) Use the Squeeze Theorem to show x=0 that f is continuous at x = 0. Then (b) use the alternative form of derivative and the result from (a) to show g is differentiable at x = 0. 0,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1
I
x 0
and g(x) = {
² cos
1
x
I COS
24. f(x) =
x=0
(a) Use the Squeeze Theorem to show
0.
x=0
x=0
that f is continuous at z = 0. Then (b) use the alternative form of derivative and the result from (a) to
show g is differentiable at x = 0.
0,
Transcribed Image Text:1 I x 0 and g(x) = { ² cos 1 x I COS 24. f(x) = x=0 (a) Use the Squeeze Theorem to show 0. x=0 x=0 that f is continuous at z = 0. Then (b) use the alternative form of derivative and the result from (a) to show g is differentiable at x = 0. 0,
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