If f(x)=(tan(pi/4+(log)e x))^((log)x e) ...

If `f(x)=(tan(pi/4+(log)_e x))^((log)_x e)` is to be made continuous at `x=1,` then what is the value of `f(1)?`

A

`e^(2)`

B

e

C

`1//e`

D

`e^(-2)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

The function f(x)=((3^x-1)^2)/(sinx*ln(1+x)), x != 0, is continuous at x=0, Then the value of f(0) is

If f(x)=(log)_e((log)_e x) , then write the value of f^(prime)(e) .

Let f(x) = (e^x x cosx-x log_e(1+x)-x)/x^2, x!=0. If f(x) is continuous at x = 0, then f(0) is equal to

The function f(x)=(log(pi+x))/(log(e+x)) s is

Let f(x) =(e^(tan x)-e^x+ln(secx+tanx)-x)/(tanx-x) be a continuous function at x=0. The value f(0) equals

If f(x)=e^(x)+2x , then f(ln 2)=

If f(x)=log_(x) (log x)," then find "f'(x) at x= e

If f(x)=|log_(e) x|,then