[" If "f(x)={[((1)/((x))+(1)/(x)),,x!=0," then "f(x)" is: "],[0,,x=0]" ,then "f(x)" is: "],[[0,,x=0],[" (3) neither differentiable nor continuous at "x=0," (4) discontinuous everywhere "]]

If f(x)= ((xe^(-1/|x|+1/x), if, x!=0),(0 , if, x=0)) , then f(x) is 1) continuous for all x, but is not differentiable2) neither differentiable nor continuous3) discontinuous everywhere4) continuous as well as differentiable for all x

If f (x) = f(x)={(x^2sin, 1/x,x ne0),(0, x=0, ):} Show that f is differentiable and continuous at x=0

if f(x)=(x(3e^((1)/(x))+4))/(2-e^((1)/(x))) if x!=0 and f(x)=0 if x=0 then check f(x) is continuous,discontinuous and differentiable, non-differentiable at x=0

Let f(x)= { [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] } then f(x) is (A) continuous but non-differentiable at x=0 (B) differentiable at x=0 (C) discontinuous at x=0 (D) none of these

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

If f(x)={(1-cos x)/(x sin x),x!=0 and (1)/(2),x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (continuous but not differentiable (d)neither continuous nor differentiable

Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):} then f(x) is continuous but not differentiable at x=0 if

Assertion (A) : f(x) = xsin ((1)/(x)) is differentiable at x=0 Reason (R): F(x)is continuous at x=0

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable