If `f(x)=x^2+1,` when `x!=1 and f(x)=3` when `x=1,` prove that `f(x)` is not continuous at `x=1.`

If f(x)={x^(2), when x>=1x, when x<1 prove that f(x), is not differentiable at x=1.

If f(x)={(x-2)/(x^(2)-3x+2), when x!=21 when x=2, prove that f'(2)=-1

If f(x)=3x-1 when x geq1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(X) = (x^2-1)/(x-1 for x ne 1 and f(x) = 2 when x = 1. Show that the function f(X) is continuous at x = 1.

Prove that f(x)=|1-x+|x|| is a continuous function at x=0

If f(x)={(x-1)/(2x^(2)-7x+5), when x!=1-(1)/(3), when x=1, prove that f'(1)=-(2)/(9)

Draw the graph of the function : f(x)=1+2x," when "xle1 =3-x," when "x gt1 From the graph examine whether f(x) is continuous at x = 1 or not.

If f(x)={(x^2-1)/(x-1);\ f or \ x!=1;\ \ \ 2\ f or \ x=1 . Find whether f(x) is continuous at x=1.