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12 Nov 2019
2. Let I R an open interval and let f: 1 right arrow R be differentiable on I. Show that if f'' (a) exists, then f''(a) = lim h right arrow 0 f(a + h) - 2 f(a) + f(a - h)/h^2 . Give an example of a function for which the limit exists, but the function does not have a second derivative at a.
2. Let I R an open interval and let f: 1 right arrow R be differentiable on I. Show that if f'' (a) exists, then f''(a) = lim h right arrow 0 f(a + h) - 2 f(a) + f(a - h)/h^2 . Give an example of a function for which the limit exists, but the function does not have a second derivative at a.
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watching
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Trinidad TremblayLv2
6 Sep 2019