[" 13.If "f(x)={[(|x+2|)/(tan^(-1)(x+2)),,x!=-2],[2,,x=-2]" ,then "f(x)" is "],[," 1) continuous at "x=-2," 2) not coninu "],[" 3) differentiable at "x=-2," 4) continuous "]

If f(x)={(|x+2|)/(tan^(-1)(x+2)), x!=-2 2, x=-2 , then f(x) is continuous at x=-2 (b) not continuous at x=-2 (c) differentiable at x=-2 (d) continuous but not derivative at x=-2

Is f(x) = x^2 continuous at x=2 ?

If f(x)={(|x+2|)/(tan^(-1)(x+2)),\ \ \ x!=-2 ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-2 , then (a). f(x) is continuous at x=-2 (b) not continuous at x=-2 (c) differentiable at x=-2 (d) continuous but not derivative at x=-2

Show that f (x) = | x - 2 | is continuous but not differentiable at x = 2 .

Show that f(x)={[5-x,,x>=2],[x+1,,x<2] is continuous at x = 2 but not differentiable at that point.

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

If f(x) = sqrt((1)/(tan^(-1)(x^(2)-4x + 3))) , then f(x) is continuous for

If f(x) = sqrt((1)/(tan^(-1)(x^(2)-4x + 3))) , then f(x) is continuous for

If f(x) = sqrt((1)/(tan^(-1)(x^(2)-4x + 3))) , then f(x) is continuous for