Home
Class 12
MATHS
If ("lim")(xvec0)(1+a x+b x^2)^(2/x)=e^3...

If `("lim")_(xvec0)(1+a x+b x^2)^(2/x)=e^3,` then find the value of `aa n dbdot`

A

`a=3,b=0`

B

`a=3/2,b=1`

C

`a=3/2,b=4`

D

`a=2,b=3`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Matching Type Questions)|3 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|39 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If lim_(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.

If lim_(xto0) (1+ax+bx^(2))^(2//x)=e^(3) , then find the values of a and b.

If ("lim")_(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0, then find the value of aa n dbdot

If ("lim")_(x to0)(a e^x-b)/x = 2 , then find the value of a a n d bdot

If lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____

Find ("lim")_(xvec0){tan(pi/4+x)}^(1//x)

Evaluate: ("lim")_(xvec0)(tanx-sinx)/(x^3)

If (lim)_(xvec0)[cot(pi/4+x)]^(1//x)=A e^2 then the value of A is: e^2 (B) e^(-4) (C) e (D) e^3

("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____

If the curve y=a x^2-6x+b pass through (0,2) and has its tangent parallel to the x-axis at x=3/2, then find the values of aa n dbdot