Let f be defined in (a, b) and differentiable at xo E (a, b). Let (xn), (Yn) be such that a < xn < x0 < Yn < b, lim In lim yn = x0• n-00 n-00 Show that f(yn) – f(æn) lim - f'(x0). Yn – Xn -
Let f be defined in (a, b) and differentiable at xo E (a, b). Let (xn), (Yn) be such that a < xn < x0 < Yn < b, lim In lim yn = x0• n-00 n-00 Show that f(yn) – f(æn) lim - f'(x0). Yn – Xn -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f be defined in (a, b) and differentiable at xo E (a, b). Let (xn), (Yn) be such that
a < xn < x0 < Yn < b,
lim In
lim yn = x0•
n-00
n-00
Show that
f(yn) – f(æn)
lim
- f'(x0).
Yn – Xn
-
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