SOLUTION: Show that f(x)= |x^2 -4| has a limit at x= -2 but is not differentiable at x= -2, using limits.

SOLUTION: Show that f(x)= |x^2 -4| has a limit at x= -2 but is not differentiable at x= -2, using limits.

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Question 844359: Show that f(x)= |x^2 -4| has a limit at x= -2 but is not differentiable at x= -2, using limits.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

From the left , function looks like,

From the right the function looks like

So although the function is continuous, the value of the derivative approaches -2 from the left and right are not equal so it is not differentiable.
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