Examine whether the function f given by ...

Examine whether the function f given by `f(x)= x^2` is continuous at x= 0.

Verified by Experts

The correct Answer is:

Hence, f is continuous at x=0.

Similar Questions

Explore conceptually related problems

Prove that the function defined by f(x)= tan x is a continuous function.

Is the function defined by f(x)= |x| , a continuous function?

Show that the function defined by f(x)= |cos x| is a continuous function.

Show that the function defined by f(x)= cos (x^2) is a continuous function.

Show that the function defined by f(x)= sin (x^2) is a continuous function.

Find the interval in which the function f given by f(x)=2x^(2)-3x is strictly increasing.

Check the continuity of the function f given by f(x) = 2x + 3 at x = 1 .

Prove that the identity function on real numbers given by f(x)= x is continuous at every real number.

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing