Let f(x)=log(1+x^2)/(x^4-26x^2+25Then 1)...

Let `f(x)=log(1+x^2)/(x^4-26x^2+25`Then 1)`f` is continuous on ([6,10](2) f is continuous on [-2,2](3) f is continous on [-6,6]4) f is continuous on [1,])

f is continuous at on [6,10]

f is continuous on [-2,2]

f is continuous on [-6,6]

f is continuous on [1,7]

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

LIMITS AND CONTINUITY
MCGROW HILL PUBLICATION|Exercise Solved Examples (Numberical Answer)|16 Videos
LIMITS AND CONTINUITY
MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct Answer)|10 Videos
LIMITS AND CONTINUITY
MCGROW HILL PUBLICATION|Exercise Solved Examples Level 1 (Single Correct Answer)|52 Videos
JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )
MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos
MATHEMATICAL INDUCTION AND BINOMIAL THEOREM
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x-2)/(x), then in [0,pi] (A) both tan(f(x)) and (1)/(f(x)) are continuous.(B) tan(f(x)) is continuous but f^(-1)(x) is not continuous (C) tan (f^(-1)x) and f^(-1)x are discontinous (D) none of these

For the function f(x)=1/(x+2^(1/(x-2)) x!=2 which of the following holds (A)f(2)=1/2 and f is continuous at x = 2 (B) f(2) != 0, 1/2 and f is continuous at x = 2(C) f can not be continuous at x = 2 (D)f(2) = 0 and f is continuous at x =2

If f(x) = (sqrt(x+3)-2)/(x^(3)-1) , x != 1 , is continuous at x = 1, then f(1) is

If f(x)=|log_(10)x| then at x=11 fis not continuous2) fis continuous but not differentiable 3 ) fis differentiable4) the derivative is 1

If f(x) = sqrt((1)/(tan^(-1)(x^(2)-4x + 3))) , then f(x) is continuous for

If f(x) ={ (x.ln(cosx))/ln (1+x^2) x!=0 , 0, x=0 then a) f is continuous at x =0 b) f is continuous at x =0 but not differentiable at x=0 c) f is differemtiable at x =0 d) f is not continuous at x =0

If f(x)=1/2 x-1 then on the interval [0,pi](a) tanl f(x)] and 1/f (x) are both continuous?1 (b)tan(f(x)] and 1//(x) are both discontinuousf(tanl/(x)] and f (a) are both continuoustan[ f(x)] is continuous but 1/f(x) is not(1989 2 Marks)

Let f(x)=(log (1+x+x^2)+log(1-x+x^2))/(sec x-cosx) , x ne 0 .Then the value of f(0) so that f is continuous at x=0 is

If f(x)=|(log)_(10)x|,t h e na tx=1 a. f(x) is continuous and f^(prime)(1)=(log)_(10)e b. f(x) is continuous and f^(prime)(1)=-(log)_(10)e c. f(x) is continuous and f^(prime)(1^-)=(log)_(10)e d. f(x) is continuous and f^(prime)(1^-)=-(log)_(10)e

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 2 (Single Correct Answer)

f(x)={{:((3//x^2)sin2x^2,"if" x lt 0),((x^2+2x+c)/(1-3x^2), "if" x ge ...
Text Solution
|
The function f(x)=(sin 2x)^(tan^(2)2x) is not defined at x=(pi)/(4). T...
Text Solution
|
Let f(x)=(log (1+x+x^2)+log(1-x+x^2))/(sec x-cosx) , x ne 0 .Then the ...
Text Solution
|
The value of k(k gt 0) for which the function f(x)=(e^x-1)^4/(sin(x^2/...
Text Solution
|
The function f(x) = (log(1+ax)-log(1-bx))/(x) is not defined at x = 0....
Text Solution
|
Let f(x)=log(1+x^2)/(x^4-26x^2+25Then 1)f is continuous on ([6,10](2) ...
Text Solution
|
Let f(x)=(sin (pi cos^2 x))/x^2 , x ne 0 . The value of f(0) so that f...
Text Solution
|
Let f(x)={{:((e^(alphax)-e^x)/x^2, x ne 0),(3//2,x=0):} The value of a...
Text Solution
|
Let f be a continuous function on R such that f(1//2^n) =(sin e^n) e^...
Text Solution
|
Let f(x)=lim(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous ...
Text Solution
|
Let f be a non-zero continuous function satisfying f(x+y)=f(x)f(y) for...
Text Solution
|
Let f be a function on [0,1] defined by f(x)=(1//2)^n , (1//2)^(n+1) ...
Text Solution
|
If f(x) is continuous at x=0, where f(x)={:{((sin (a+1)x+sin x)/(x)",...
Text Solution
|
Let f(x)={(72^x -9^x- 8^x +1)/(sqrt2-sqrt(1+cosx)) ; x != 0 and k lo...
Text Solution
|
Let f be a function defined on R by f(x)=[x] + sqrt(x-[x]) then
Text Solution
|
The function f : R ~ {0} to R given by f(x)=(tan x-x)/(x-sinx) can be ...
Text Solution
|
For x ne 1, f is defined by f(x)=1/(log x) - 1/(x-1) The value of f(1)...
Text Solution
|
The number of points where f(x)={{:([cos pi x],"," 0 le x le 1),(|2x-...
Text Solution
|
If f(x)={{:(x^2+Ax+5, x in Q),(1+x , x in R ~ Q):} is continuous at ...
Text Solution
|
lim(x->1) (nx^(n+1)-nx^(n)+1)/((e^x-e^2)sinpix)
Text Solution
|