If f(x)={{:((1-tanx)/(4x-pi)",",x ne(pi)...

If `f(x)={{:((1-tanx)/(4x-pi)",",x ne(pi)/(4)),(k ",",x=(pi)/(4)):}` is continuous at `x=(pi)/(4)` then the value of k is

A

1

B

`1/2`

C

`-1/2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|36 Videos
CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|30 Videos
COMPOUND ANGLES
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos
DETERMINANTS
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:(tan((pi)/(4)-x)/(cot2x)",",x ne(pi)/(4)),(k",",x=(pi)/(4)):} is continuous at x=(pi)/(4) , then the value of k is

If f(x)={{:((1-sqrt2sinx)/(pi-4x)",",ifxne(pi)/(4)),(a",",if x=(pi)/(4)):} in continuous at (pi)/(4) , then a is equal to :

Let f(0,pi) to R be defined as f(x)={{:(,(1-sinx)/((pi-2x)^(2)).(In sin x)/((In(1+pi^(2)-4pix+4x^(2)))),x ne (pi)/(2)),(,k,x=(pi)/(2)):} If a continuous at x=(pi)/(2) , then the value of 8sqrt|k|,is

If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is continuous at x=pi/2, then k is equal to

Let f(x)= {{:(,(tanx-cotx)/(x-(pi)/(4)),x ne (pi)/(4)),(,a,x=(pi)/(4)):} The value of a so that f(x) is a continous at x=pi//4 is.

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:

Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):} If lim_(xto(pi)/(2))f(x)=f((pi)/(2)), find the value of k.

L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], If f(x)i s continuous in [0,pi/4], then find the value of f(pi/4)dot

Let f(x)={{:(((1-cosx)/((2pi-x)^(2)))((sin^(2)x)/(log(1+4pi^(2)-4pix+x^(2)))),:,xne2pi),(" "lambda,:,x=2pi):} is continuous at x=2pi , then the value of lambda is equal to

VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)

If f(x)={{:((1-tanx)/(4x-pi)",",x ne(pi)/(4)),(k ",",x=(pi)/(4)):} is...
Text Solution
|
Let f (x)= {{:(ax (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +q...
Text Solution
|
If y= sin (8 sin ^(-1) x ) then (1-x ^(2)) (d^(2)y)/(dx ^(2))-x (dy)/...
Text Solution
|
If y ^(2) =4ax, then (d^(2) y)/(dx ^(2))=(ka ^(2))/( y ^(3)), where k ...
Text Solution
|
The number of values of x , x ∈ [-2,3] where f (x) =[x ^(2)] sin (pix)...
Text Solution
|
If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...
Text Solution
|
In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...
Text Solution
|
Consider f(x) =x^(2)+ax+3 and g(x) =x+band F(x) = lim( n to oo) (f...
Text Solution
|
Let f (x)= {{:(2-x"," , -3 le x le 0),( x-2"," , 0 lt x lt 4):} Then f...
Text Solution
|
If f (x) +2 f (1-x) =x ^(2) +2 AA x in R and f (x) is a differentiable...
Text Solution
|
Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number o...
Text Solution
|
If (d^(2))/(d x ^(2))((sin ^(4)x+ sin ^(2)x+1)/(sin ^(2)x + si n x+1))...
Text Solution
|
f (x) =a cos (pix)+b, f'((1)/(2))=pi and int (1//2)^(3//2) f (x) dx =2...
Text Solution
|
Let alpha (x) = f(x) -f (2x) and beta (x) =f (x) -f (4x) and alpha '(1...
Text Solution
|
Let f (x) =-4.e ^((1-x)/(2))+ (x ^(3))/(3 ) + (x ^(2))/(2)+ x+1 and g ...
Text Solution
|
If y=e^(2 sin ^(-1)x) then |((x ^(2) -1) y ^('') +xy')/(y)| is equal t...
Text Solution
|
Let f be continuous function on [0,oo) such that lim (x to oo) (f(x)+ ...
Text Solution
|
Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5)...
Text Solution
|
In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...
Text Solution
|
Let f :R to R be a differentiable function satisfying: f (xy) =(f(x)...
Text Solution
|
For the curve sinx+siny=1 lying in first quadrant. If underset(xrarr0...
Text Solution
|