Home
Class 12
MATHS
Let f(x)={((x^3+2x^2-x-2)/(x^3-2x^2-x+2)...

Let `f(x)={((x^3+2x^2-x-2)/(x^3-2x^2-x+2), for |x| lt 1),(x^2+ax+b, for |x| ge 1):}` be continuous for all `x`. Now answer the question:The values of `a` and `b` are given by
`(A)` `a=-8/3,b=-4/3`
`(B)` `a=4/3,b=-8/3`
`(C)` `a=-4/3,b=-8/3`
`(D)` `a=-4/3,b=8/3`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)={(1/(|x|), for |x| ge 1),(ax^2+b,for |x| < 1)) . If f(x) is continuous and differentiable at any point, then (A) a=1/2, b=-3/2 (B) a=-1/2, b=3/2 (C) a=1,b=-1 (D) none of these

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1,\ b=3 (b) a=3,\ b=1 (c) a=-1,\ b=5 (d) a=5,\ b=-1

let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if x if 1 to 3 .All possible real values of b such that f (x) has the smallest value at x=1 are

If (3x+4)/(x^(2)-3x+2)=A/(x-2)-B/(x-1) then (A, B) =

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

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

If int _(0)^(2)(3x ^(2) -3x +1) cos (x ^(3) -3x ^(2)+4x -2) dx = a sin (b), where a and b are positive integers. Find the value of (a+b).