# Show that f(x) = |x - 3| is continuous but not differentiable at x = 3.

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Show that f(x) = |x - 3| is continuous but not differentiable at x = 3.

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f(x) = |x – 3|

Therefore we can write it as,

= 0

LHL = RHL = f(3)

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

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