Home
Class 12
MATHS
Let f(x) = ((x - 1))/((2x^(2) - 7x + 5))...

Let `f(x) = ((x - 1))/((2x^(2) - 7x + 5))` then

A

`underset(x to 1)(lim) f(x) = - (1)/(3)`

B

`underset(x to 0)(lim) f(x) = - (1)/(5)`

C

`underset(x to oo)(lim) f (x) = 0`

D

`underset(x + (5)/(2))(lim) f(x)` does not exist

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - D|6 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - E|4 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - B|34 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

Let f(x) = 5x^(3) + 7x^(2) + 7x + 5 , the for x ne 0, x^(3)f(1/x) is equal to

Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

If f(x)={(x-1)/(2x^(2)-7x+5), when x!=1-(1)/(3), when x=1, prove that f'(1)=-(2)/(9)

Let f(x) = ax^(3) + 5x^(2) - bx + 1 . If f(x) when divide by 2x + 1 leaves 5 as remainder, and f'(x) is divisible by 3x - 1 , then

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5) , then f(x) + f(1-x) is equal to

Let f(x)=(x+1)/(2x-1) and g(x)=|x|+1 Then the number of elements in the set {x:f(x)>=g(x)}*[((1)/(2),(3)/(5))uu((3)/(5),(7)/(10))uu((7)/(10)uu(4)/(5))uu((4)/(5),1)]

Function f(x) is defined as f(x)={(x-1)/(2x^(2)-7x+5),x!=1 and -(1)/(3),x=1 .Is f(x) differentiable at x=1 if yes find f'(1)?

Let f(x) = (x+2)^(2) - 4, x ge 2 . Let S = {x : f(x) =f^(-1)(x)} , Then S is equals to

Knowledge Check

  • Let f(x) = 5x^(3) + 7x^(2) + 7x + 5 , the for x ne 0, x^(3)f(1/x) is equal to

    A
    `f(-x)`
    B
    `f(x)`
    C
    `1/(f(x))`
    D
    `1/(f(-x))`

  • Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

    A
    `[1,oo)`
    B
    `[0,1)`
    C
    `[-1,1]`
    D
    `(0,1]`

  • Let f(x) = ax^(3) + 5x^(2) - bx + 1 . If f(x) when divide by 2x + 1 leaves 5 as remainder, and f'(x) is divisible by 3x - 1 , then

    A
    `a = 26, b = 10`
    B
    `a = 24, b = 12`
    C
    `a = 26, b = 12`
    D
    none of these