7. Suppose (fn) is a sequence of continuous functions on an interval I that converges uniformly on I to a function f. If (xn) C I converges to xo E I, show that lim,→∞ fn(xn) = f(xo).
7. Suppose (fn) is a sequence of continuous functions on an interval I that converges uniformly on I to a function f. If (xn) C I converges to xo E I, show that lim,→∞ fn(xn) = f(xo).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 1E: Assume x and y are functions of t. Evaluate dydtfor each of the following. y28x3=55; dxdt=4,x=2,y=3
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