Home
Class 12
MATHS
Find the constant a, b and c such that l...

Find the constant a, b and c such that `lim_(x->0)(axe^x-blog(1+x)+cxe^(-x))/(x^2sinx) = 2`

Text Solution

Verified by Experts

The correct Answer is:
On solving we get `a=3,b=12,c=9`.
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 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

Find the constant a b and c such that lim_(x rarr0)(axe^(x)-b log(1+x)+cxe^(-x))/(x^(2)sin x)=2

If lim_(x rarr 0) (ax e^x-b ln(1+x)+c x e^-x)/(x^2 sinx)=2, then a+b+c=

lim_(xrarr0) (x^(2)-x)/(sinx)

Evaluate lim_(x to 0) (sinx+log(1-x))/(x^(2)).

Find the values of a and b in order that lim_(x->0) (x(1+a cos x)-b sinx)/x^3=1 [using L' Hospital' srule].

Evaluate : lim_( x -> 0 ) ( e^x - 1 )/ sinx

lim_(x rarr 0) (1+sinx-cosx+log_e(1-x))/x^2

Evaluate : lim_( x -> 0 ) ( tanx - x ) / ( x - sinx )