Home
Class 12
MATHS
Is the function defined by f(x)= |x|, a ...

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

Text Solution

Verified by Experts

The correct Answer is:
Hence, f is continuous at all points.
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

Examine that f(x) = sin |x| is a continuous function.

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

Discuss the continuity of the function f defined by f(x)= (1)/(x^2), x ne 0 .

If the function f is defined by f(x)=(x)/(1+|x|) , then at what points is f differntiable ?