4. Suppose f is differentiable at x = 10- (a) Show that f(xo+h)-f(xo) h f(ro+h)-f(xo - h) (b) Show that 2h lim h→0 lim h→0 : f'(xo). = f'(ro).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Suppose f is differentiable at x = 10-
(a) Show that
f(xo+h)-f(xo)
h
f(ro+h)-f(xo - h)
2h
(b) Show that
lim
h→0
lim
h→0
f'(ro).
= f'(ro).
Transcribed Image Text:4. Suppose f is differentiable at x = 10- (a) Show that f(xo+h)-f(xo) h f(ro+h)-f(xo - h) 2h (b) Show that lim h→0 lim h→0 f'(ro). = f'(ro).
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