# Let ƒ(x) =

Left hand limit at x = 1 f(x) = x is polynomial function and a polynomial function is continuous everywhere

Right hand limit at x = 1 f(x) = 2 - x is polynomial function and a polynomial function is continuous everywhere

Also, f(1) =1

As we can see that, Therefore,

f(x) is continuous at x =1

Now,

LHD at x = 1 RHD at x = 1  As, LHD ≠ RHD

Therefore,

f(x) is not differentiable at x = 1

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