Q86 of 107 Page 107

The function f(x) = cot x is discontinuous on the set

We have,

Now, f(x) is discontinuous where sinx=0.

We know that sinx=0 at x = nπ, n ∈ Z

⇒ f(x) = cotx is discontinuous on the set {x = nπ : n ∈ Z}

The function f(x) = is

The set of points where the function f given by f(x) = |2x – 1| sinx differentiable is

The function f(x) = e^|x| is

If where , then the value of the function f at x = 0, so that the function is continuous at x = 0, is