f is continuous at `x = 3` but not at `x = 2` The function `f(x) = |2 s g n 2 x| + 2` has

The function f(x) = 2x 3^(2/3) , x in , has

the function f(x)=3x-1,x 2 is continuous on

Show that the function 'f' defined as follows, is continuous at x = 2, but not differentiable there at: f(x) = {:{(3x-2,0 2):}

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

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

If the function defined by : f(x)={{:(2x-1", "xlt2),(a", "x=2),(x+1", "xgt2):} is continuous at x = 2, find the value of 'a'. Also discuss the continuity of f(x) at x = 3.

Let f(x) be continuous in a neighbourhood of 'a' and g(a) ne 0 g is continuous at x=a. Let f be a function such that f'(x)=g(x) (x-a)^(2) , then :

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then: (a) f(x) is continuous but not differentiable at x = - (3)/(2) (b) f(x) is differentiable at x = 0 (c) f(x) is continuous at x = 0 (d) f(x) is differentiable but not continuous at x = - (3)/(2)

Discuss the continuity of the function f(x) given by f(x)={2-x;quad x =2 at x=2 .

Discuss the continuity of the function f(x)=x^3+x^2-1