Letf (x) = { tan "" ((pi)/(4) + x)}^(1/x...

Let`f (x) = { tan "" ((pi)/(4) + x)}^(1/x) , x ne 0 " and " f(0) = k . ` For what value of k, f(x) is

Verified by Experts

The correct Answer is:

`e^(2)`

Similar Questions

Explore conceptually related problems

f(x) = (|x|)/(x) , x ne 0 , f(0) = 1 then f(x at x = 0 9s

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

f(x) = ( x^(2))/(|x|) , x ne 0 f (0) = 0 at x = 0 , f is

f(x) = (3 sin x - sin (3x))/(x^(3)) , x ne 0 , f(0) = 4 at x = 0 , f is

f(x) = (tan x)/(x) , x ne , f(0 ) = 1 , f(x) at x = 0 is

f (x) = (e^(1//x^(2)))/(e^(1//x^(2))-1) , x ne 0, f (0) = 1 then f at x = 0 is

If 2f(x) -3f(1/x)=x^(2), x ne 0 , then f(2)=

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

Let f(x)=(x(1+a cosx)- b sin x)/(x^(3)), x ne 0 and f(0)= 1. Then values if 'a' and 'b' so that 'f' is continuos are