Home
Class 12
MATHS
If lim(x->0)(1+a x+b x^2)^(2/ x)=e^3,the...

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

A

`a=3/2,b epsilonR`

B

`a=1/2, b epsilonR`

C

`a epsilonR,bepsilonR`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 4|4 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 5|4 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

If lim_(x rarr0)(1+ax+bx^(2))^((2)/(x))=e^(3), the value of a and b are

If lim_(x rarr0)(1+ax+bx^(2))^((2)/(x))=e^(3), then find the value of a and b.

If lim_(xrarr0)(axe^(x)-b log(1+x))/(x^(2))=3 , then the value of a and b are respectively.

If lim_(x rarr oo)(1+(a)/(x)+(b)/(x^(2)))^(3x)=e^(4) then the values of a and b are

If lim_(x rarr oo)(1+(a)/(x)+(b)/(x^(2)))^(2x)=e^(2) then the values of a and b,are

if lim_(x rarr0)(1+ax)^((b)/(x))=e^(2), where a and b are natural numbers,then

lim_(x->0)(e^(2x)-1)/(3x)

If lim_(x to 1) (1 + ax + bx^(2))^((c )/(x - 1)) = e^(3) , then the value of a + b + bc + 2009 is…….