Home
Class 12
MATHS
Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4...

Let `f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]`.
If f(x) is continuous in `[0,(pi)/2]`, then `f((pi)/(4))` is

A

(a) `-1`

B

(b) `1/2`

C

(c) `-1/2`

D

(d) `1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = (tan(pi/4-x))/(cot2x), x != pi/4 , is continuous in (0, pi/2) , then f((pi)/(4)) is equal to

If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi/6):} is continuous at x = (pi)/6 , then a =

If f(x) = {(ax+1,",",x le (pi)/(2)),(sin x+ b,",",x gt (pi)/(2)):} is continuous at x = (pi)/2 , then

If f(x)=(e^(x)+e^(-x)-2)/(x sin x) , for x in [(-pi)/(2), (pi)/(2)]-{0} , then for f to be continuous in [(-pi)/(2), (pi)/(2)], f(0)=

Let f(x) = {((tan x - cot x)/(x-pi/4), ",", x != pi/4),(a, ",", x = pi/4):} The value of a so that f(x) is continuous at x = (pi)/4 , is

If the function f(x) = (1-sinx)/(pi-2x)^2 , x!=pi/2 is continuous at x=pi/4 , then find f(pi/2) .