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

1

B

`(1)/(2)`

C

`-(1)/(2)`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|15 Videos
  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|10 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos
  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(1-tan x)/(4x-pi),x!=(pi)/(4),x in[0,(pi)/(2)], If f(x) is continuous in [0,(pi)/(4)], then find the value of f((pi)/(4))

Let f (x)= {{:((1- tan x)/(4x-pi), x ne (pi)/(4)),( lamda, x =(pi)/(4)):}, x in [0, (pi)/(2)), If f (x) is continuous in [0, (pi)/(2)) then lamda is equal to:

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) = {{:((1- sqrt2sin x )/(pi - 4 x )",",, x ne (pi)/(4)),(a" "",",,x = (pi)/(4)):} is continuous at x = (pi)/(4) , then a =

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)=

If f(x) = (1- cos 7(x-pi))/(x-pi), (x ne pi) is continuous at x =pi , then f(pi) equals-