13.1. Suppose that (xn) is a convergent sequence of points which lies, together with its limit x, in a set D R?. Suppose that (fn) converges on D to the function f. Is it true that f(x) = lim (fn(xn))? 13.J. Consider the preceding exercise with the additional hypothesis that the convergence of the (fn) is uniform on D.
13.1. Suppose that (xn) is a convergent sequence of points which lies, together with its limit x, in a set D R?. Suppose that (fn) converges on D to the function f. Is it true that f(x) = lim (fn(xn))? 13.J. Consider the preceding exercise with the additional hypothesis that the convergence of the (fn) is uniform on D.
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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Help with exercise 13.J
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