Find the value of f(0) so that f(x) ...

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

Verified by Experts

The correct Answer is:

1

Similar Questions

Explore conceptually related problems

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) = (log (1 + (x)/(a))- log (1 - (x)/(b)))/(x) is continuous x = 0

Find the value of f(0) so that f(x) = ((a + x)^(2) sin (a + x) - a^(2) sin a)/(x) is continuous at x = 0 .

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

Find the value of f(0) so that f (x) = (1 + 2x)^(1//3x) is continuous at x = 0

Find the value of f(0) so that f(x) = (1 + x)^(1//5x) is continuous at x = 0 .

Find the value of f(0) so that f(x) = (1 + 5x)^(1//x) is continuous at x = 0 .

Find the value of 'a' so that If f(x) = (1 - tanx)/(4x -pi) , x ne (pi)/(4) , is continuous on (0, (pi)/(2)), " find f " ((pi)/(4)) .

If f(x) =(e^(1)/(x^(2))+1)/(e^(1)/(x^(2))-1) (x ne 0) is continuous at x = 0 find f(0)