Show that ` f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 ` is continuous at x = 0

Show that f(x) = (x)/(1 + e^(1//x)), x ne 0 , f(0) = 0 is continuous at x = 0

Show that the function f(x) =x sub (1)/(x) , x ne 0 f(0) =0 is continuous at x = 0

Show that the function f(x) = x cos (1//x), x ne 0 f(0) = 1 is discontinuous at x = 0.

Show that the function f(x)=(x)/(1+e^(1//x),x ne 0, f(0)= 0 is continuous at x = 0

f (x) = (sin x )/(x) , x ne 0 and f(x) is continous at x = 0 then f(0) =

Show that the function f (x) = x ^(p) sin ((1)/(x)) x , ne 0, f (0) =0 is continuous but not differentiable at x=0 if 0 lt p le 1.

f (x) = ((e^(kx)-1)(sin kx))/(4x^(2)) , x ne 0, f(0) = 9 , is continuous at x = 0 , then k =

f(x) - (1- cos (ax))/( x sin x) , x ne 0, f(0) = 1/2 is continuous at x = 0 , a =

If f(x)=(sin^(2)ax)/(x^(2))" for "x ne 0, f(0)=1 is continuous at x=0 then a=

Find the value of f(0) so that f(x) = (1)/(x) - (2)/(e^(2x) -1) , x ne 0 is continuous at x = 0 .