L e tf(x)={(x^4-5x^2+4)/(|(x-1)(x-2)6),x...

`L e tf(x)={(x^4-5x^2+4)/(|(x-1)(x-2)6),x!=1,2 12,x=2x=1` then `f(x)` is continuous on the set R (b) R-[1] (c) R-[2] (d) R-[1,2]

A

`R-{2}`

B

`R-{1,2}`

C

`R`

D

`R-{1}`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise LEVEL -1|134 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

Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)| , x!=1,2 & 6, x=1 & 12 , x = 2 then f(x) is continuous on the set (a) R (b) R-{1} (c) R-{2} (d) R-{1,2}

Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6,x=1, 12 ,x=2

Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|)\ \ \ \ ,\ \ \ x!=1,\ 1 6\ \ \ \ \ \ \ \ \ \ \ \ \ ,\ \ \ x=1 ,\ \ \ \ \12 ,\ \ \ x=2 . Then, f(x) is continuous on the set R (b) R-{1} (c) R-{2} (d) R-{1,\ 2}

The function f(x) = (|x+2|)/(tan^(-1)(x+2)) , is continuous for x∈R x∈R−{0} x∈R−{−2} None of these

Let f(x) :R->R,f(x)={(2x+alpha^2,xge2),((alpha x)/2+10,x lt 2)) If f(x) is onto function then alpha belongs to (A) [1,4] (B) [-2,3] (C) [0,3] (D) [2,5]

Let f : R to and f (x) = (x (x^(4) + 1) (x+1) +x ^(4)+2)/(x^(2) +x+1), then f (x) is :

If f(x)={(sin((2x^2)/a)+cos((3x)/b))^((ab)/x^2),x!=0, and e^3, x=0 is continuous at x=0AAb in R then minimum value of a is a. -1//8 b. -1//4 c. -1//2 d. 0

Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R . The function f(x) is continuous everywhere but not differentiable at x is/ are

If f(x)=tan^(-1) ((2x)/(1-x^(2))), x in R "then "f'(x) is given by

If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2

Draw the graph of the function: |f(x)|=tanx
Text Solution
|
Let f (x) =|2x-9|+|2x+9|. Which of the following are true ?
Text Solution
|
L e tf(x)={(x^4-5x^2+4)/(|(x-1)(x-2)6),x!=1,2 12,x=2x=1 then f(x) is ...
Text Solution
|
If f(x)=sum(n=0)^oo x^n/(n!)(loga)^n, then at x = 0, f(x) (a) has no l...
Text Solution
|
The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}
Text Solution
|
The function f(x)=[x]^(2)+[-x^(2)], where [.] denotes the greatest int...
Text Solution
|
Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer ...
Text Solution
|
If f(x)={((1+|cosx|)^(p/(|cos x|)), , 0 lt x lt (pi)/2),(q, , x=(pi)/2...
Text Solution
|
Let f(x)={(x(e^([x]+x)-4)/([x]+|x|), , x!=0),(3, , x=0):} Where [ ] ...
Text Solution
|
Suppose f and g are two functions such that f,g: R ->R f(x)=ln(1+sqrt(...
Text Solution
|
If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x)...
Text Solution
|
Q. f={(x+a if x<0), (|x-1| if x>=0) g(x)={(x+1 if x<0),(x-1)^2 + b ...
Text Solution
|
If f(x)=-1+|x-2|,0lexle4 g(x)=2-|x|,-1lexle3 Then find fog(x) and ...
Text Solution
|
Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If f(...
Text Solution
|
If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2...
Text Solution
|
Let f(x) = sqrt(x - 1)+sqrt(x+ 24 - 10sqrt(x-1)), 1 lt x lt 26 be a re...
Text Solution
|
If f(x)=(|x|)^(|sinx|), then f'(-pi//4) is equal to
Text Solution
|
If f(x) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)
Text Solution
|
Equation x^(n)-1=0, ngt1, n in N," has roots "1,a(1),a(2),…,a(n-1). ...
Text Solution
|
Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...
Text Solution
|