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Show that the function { f(x) = {x^2,x≤1, 1/x,x>1} is continuous at x = 1 but not differentiable. ​​​​​​​

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Show that the function { f(x) = {x2,x≤1, 1/x,x>1} is continuous at x = 1 but not differentiable.

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= 1 

f(x) = x2

L.H.D (at x = 1) ≠ R.H.D (at x = 1) so f(x) is not differentiable at x = 1.

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