Show that f ,given by `f(x)=(x-|x|)/(x)(xne0)` is continuous on R - {0}

Show that the functon given by f(x)=(x-|x|)/(x)(x ne0) is continuous on R-{0}

Show thatf (x) = (x-|x|)/(x),x ne 0 is continuous on 2R - {0}

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

Examine whether the function f given by f(x)= x^2 is continuous 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

Show that the function f(x) =x sub (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

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