The function f(x) = (4-x^(2))/(4x-x^(3))...

The function `f(x) = (4-x^(2))/(4x-x^(3))` is discontinuous at

A

discontinuous at only one point in its domain

B

discontinuous at two points in its domain

C

discontinuous at three points in its domain

D

continuous everywhere in its domain

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one point (b) discontinuous exactly at two points (c) discontinuous exactly at three points (d) none of these

The function f(x)=(4-x^2)/(4x-x^3) a)discontinuous at only one point b) discontinuous exactly at two points c)discontinuous exactly at three points d) none of these

The function f(x)=[x]^2-[x^2] is discontinuous at (where [gamma] is the greatest integer less than or equal to gamma ), is discontinuous at

Statement-1: The function f(x)=[x]+x^(2) is discontinuous at all integer points. Statement-2: The function g(x)=[x] has Z as the set of points of its discontinuous from left.

The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is

Number of points where the function f(x)=1/(|x|-1)+tanx, x in (-3,3) is discontinuous, is (a) 4 (b) 5 (c) 2 (d) 3 (e) 1

Range of the function f(x)=(x-2)/(x^2-4x+3) is

The function f(x)=2x^(3)-3x^(2)-12x-4 has

Given the function f(x) = 1/( 1-x) , The points of discontinuity of the composite function f[f{f(x)}] are given by

The function f(x)=2x^3-3x^2-12x+4 has

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1

Which of the following function(s) defined at x = 0 has/have removable...
Text Solution
|
Let f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}, th...
Text Solution
|
The function f(x) = (4-x^(2))/(4x-x^(3)) is discontinuous at
Text Solution
|
If f(x)=1/((x-1)(x-2)) and g(x)=1/x^2 then points of discontinuity of ...
Text Solution
|
If f(x) is differentiable at x=a , find (lim)(x->a)(x^2f(a)-a^2\ f(x))...
Text Solution
|
Prove that the function If f(x)={:{((x)/(1+e^(1//x)) ", " x ne 0),(" ...
Text Solution
|
If f(x)={((x-2)2^(-(1/(|x-2|)+1/(x-2))),x!=2),(0,x=2):} then f(x) at x...
Text Solution
|
If f(x)={(1,xlt0),(1+sinx,0 le x le(pi)/2),(2+(x-(pi)/2),(pi)/2lex):} ...
Text Solution
|
f(x)={(|2x-3|[x],0lexle2),(x^(2)/2,2ltxle3):}. If f(x) is defined in (...
Text Solution
|
Discuss the differentiability of f(x) =[x]+ sqrt({x})), where [.] an...
Text Solution
|
If the function and the derivative of the function f(x) is everywhere ...
Text Solution
|
If f(x)=[sqrt(2)sinx], where [x] represents the greatest integer funct...
Text Solution
|
Let f(x) ={{:((x-1)^(2) sin (1)/((x-1))-|x|, if x ne 1 ),(-1,if x=1):}...
Text Solution
|
Let f(x) be defined as follows f(x)={(x^(6),x^(2)gt1),(x^(3),x^(2)le1)...
Text Solution
|
Let f(x) = {{:((a(1-x sin x)+b cos x + 5)/(x^(2))",",x lt 0),(3",",x =...
Text Solution
|
If f(x)={(x,,,0lexle1),(2-x,,,1ltxle2):} then point of discontinuity f...
Text Solution
|
Let f(x) = lambda + mu|x| + v |x|^(2) " where " lambda, mu, v are re...
Text Solution
|
Let f(x) be a function defined by f(x)={{:(,e^(x),x lt 2),(,a+bx,x ge ...
Text Solution
|
Let f: R to R satisfies |f(x)|lex^(2)AAx in R. then show thata f(x)...
Text Solution
|
f(x)=[sinx]+[cosx] ,x epsilon [0,2pi], where[.] denotes the greatest ...
Text Solution
|