Suppose the function f : R ~ :R has limit L at 0, and let a > H g : :R ~ :R is defined

Chapter 4, Problem 12

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Suppose the function f : R ~ :R has limit L at 0, and let a > H g : :R ~ :R is defined by g(x) := f(ax) for x e :R, show that lim g(x) = L. x-o 1

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