If f(x) = {:((x^(4)-64x)/(sqrt(x^(2)+9)-...

If `f(x) = {:((x^(4)-64x)/(sqrt(x^(2)+9)-5),",",x != 4),(k,",",x =4):}` is continous at x = 4, then k =

120

180

240

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONTINUITY
TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos
CONTINUITY
TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
CONTINUITY
TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
BINOMIAL DISTRIBUTION
TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos
DEFINITE INTEGRALS
TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =

If f(x)={{:(,(36^(x)-9^(x)-4^(x)+1)/(sqrt2-sqrt(1+cos x)), x ne 0),(,k,x=0):} is continuous at x=0, then k equals

If {:(f(x),=(cos x - sin x)/(cos 2x),",", x != (pi)/4),(,=k, ",", x = (pi)/4):} is continous at x = (pi)/4 , then the value of k is

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

Find the value of k, if the function f given by : {:(f(x)=(1-tanx)/(1-sqrt2sinx)",", "for" x nepi/4),(=k/2",","for"x=pi/4):} is continous at x =pi/4*

f(x)=[tan(pi/4+x)]^(1/x), x!=0 and f(x)=k, x=0 is continuous at x=0 then k=

If the function f(x) defined as : f(x)=(x^(4)-64x)/(sqrt(x^(2)+9)-5), for x!=4 and =3, for x=4 show that f(x) has a removable discontinuity at x=4

Select the write the most appropriate answer from the given alternatives in each of the following : If the function, {:(f(x)=k +x",","for" x lt1),(=4x+3",","for" x ge1):} is continous at x=1, then k=……..

TARGET PUBLICATION-CONTINUITY-Critical Thinking

If f(x) = (sqrt(x+3)-2)/(x^(3)-1) , x != 1, is continuous at x = 1, th...
Text Solution
|
If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3...
Text Solution
|
If f(x) = {:((x^(4)-64x)/(sqrt(x^(2)+9)-5),",",x != 4),(k,",",x =4):} ...
Text Solution
|
If f(x) = (tan(x^(2)-x))/(x), x != 0, is continuous at x = 0, then f(0...
Text Solution
|
Function f(x) = (1-cos 4x)//(8x^(2)), " where " x != 0 , and f(x) = k...
Text Solution
|
Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sq...
Text Solution
|
{:(f(x),=(1-cos 3x)/(x tan x),",","for" x != 0),(,=k, ",","for" x = 0)...
Text Solution
|
For what value of k, function f(x)={((k cosx)/(pi-2x)",","if "x ne (pi...
Text Solution
|
If {:(f(x),=(cos x - sin x)/(cos 2x),",", x != (pi)/4),(,=k, ",", x = ...
Text Solution
|
f:R->R is defined by f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0 and f ...
Text Solution
|
If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...
Text Solution
|
If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi...
Text Solution
|
If f(x)=(1-sinx)/((pi-2x)^2),w h e nx!=pi/2a n df(pi/2)=lambda, the f(...
Text Solution
|
If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0, then the value o...
Text Solution
|
If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x ...
Text Solution
|
The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...
Text Solution
|
If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...
Text Solution
|
If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0, is continuous at x = 0...
Text Solution
|
If the function f(x) = (cos^(2)x - sin^(2)x-1)/(sqrt(x^(2)+1)-1), x !=...
Text Solution
|
The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...
Text Solution
|