Given the function:

where a, b and k are constants, show that f(x) is continuous but not differentiable at x = k

Thank you to everyone who helps <3

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- Oct 22nd 2008, 02:38 PMiz1hpcontinuous, not differentiable
Given the function:

where a, b and k are constants, show that f(x) is continuous but not differentiable at x = k

Thank you to everyone who helps <3 - Oct 22nd 2008, 02:51 PMskeeter
continuous at x = k ...

... exists

therefore, f(x) is continuous at x = k

differentiability at x = k ...

if

if

since the limit does not exist, f(x) is not differentiable at x = k. - Oct 22nd 2008, 02:56 PMiz1hp
thanks skeeter!