# Show that f(x) =

f(x) = |x – 3|

Therefore we can write it as, f(3) = 3 - 3 = 0

LHL = = = = RHL = = = = 0

LHL = RHL = f(3)

Since, f(x) is continuous at x = 3

(LHD at x = 3) = = = = = - 1

(RHD at x = 3) = = = = = 1

(LHD at x = 3) (RHD at x = 3)

Hence, f(x) is continuous but not differentiable at x = 3.

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