Home
Class 12
MATHS
If lim(x to 1) (1+alpha x +beta^2 x)^((g...

If `lim_(x to 1) (1+alpha x +beta^2 x)^((gamma//(x-1))=e^3` then the value of `2betagamma+alpha gamma` is equal to

Text Solution

Verified by Experts

The correct Answer is:
`3.00`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct Answer)|10 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 1 Single Correct Answer)|39 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples Level 2 (Single Correct Answer)|30 Videos

  • JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )

    MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to

lim_(xrarr0)(alphae^x+betaln(1+x)+gammae^-x)/(xsin^2x)=10 then find (alpha+beta+gamma)

If roots of x ^(3)+2x ^(2) +1=0 are alpha, beta and gamma, then the value of (alpha beta )^(3)+ (beta gamma ) ^(3) + (alpha gamma )^(3), is:

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha, beta, gamma are roots of x^(3)-2x^(2)+7x-1=0 then the value of (alpha+beta-gamma) (beta+gamma-alpha) (alpha+gamma-beta)

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of (alphabeta)/(gamma)+(betagamma)/(alpha)+(gammaalpha)/(beta) is equal to

alpha,beta,gamma roots of 4x^(3)+8x^(2)-x-2=0 ,then value of (4(alpha+1)(beta+1)(gamma+1))/(alpha beta gamma) is

If lim _( x to 0) (alpha x e ^(x) - beta log _(e) (1 + x ) + gamma x ^(2) e ^(-x))/( x^2 sin x) = 10, alpha , beta, gamma in R, then the value of alpha+ beta + gamma is ____________.

If the roots of x(3-x^2)+2x^2=0 are alpha,beta,gamma then the value of alpha+beta+gamma+1 is ________ .