Home
Class 12
MATHS
If lim(xto0)(axe^(x)-blog(1+x))/(x^(2))=...

If `lim_(xto0)(axe^(x)-blog(1+x))/(x^(2))=3` then the values of a, b are respectively

A

2,2

B

1,2

C

2,1

D

2,0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

If lim_(xrarr0)(axe^x-blog(1+x))/x^2=3 ,then the values of a ,b are respectively

If underset(x to0)lim(axe^(x)-blog(1+x))/(x^(2))=3 then values of a and b respectively-

lim _(xto0) (a ^(x) -b^(x))/(e ^(x)-1)

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

If lim_(xto0) ((4x-1)^(1/3)+a+bx)/(x)=1/3 then find the values of a and b.

If lim_(xto0) (1-cosx)/(e^(ax)-bx-1)=2 then find the values of a and b.

lim_(xto0+)(e^x+x)^((1)/(x))

If lim_(x to oo) [ (x^(3)+1)/(x^(2)+1)-(ax+b)]=2 , then the values of a and b are -

If lim _(xto0) 1/x [log (3+x) - log (3-x) ]=k, then the value of k is-

Evaluate lim_(xto0) (e^(x^(2))-cosx)/(x^(2))

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. A particle starts moving from rest from a fixed point in a fixed direc...

    Text Solution

    |

  2. lim(nto oo)(sqrt1+sqrt2+......+sqrt(n-1))/(nsqrtn)=

    Text Solution

    |

  3. If lim(xto0)(axe^(x)-blog(1+x))/(x^(2))=3 then the values of a, b are ...

    Text Solution

    |

  4. Area of the region bonuded by y=|x|andy=-|x|+2 is

    Text Solution

    |

  5. Let d(n) denote the number of divisors of n inciuding 1 and iteslf . T...

    Text Solution

    |

  6. The trigonometric equation sin^(-1)x=2sin^(-1)2a has a real solution i...

    Text Solution

    |

  7. If 2+i and sqrt5-2i are the roots of the equation (x^(2)+ax+b)(x^(2)+c...

    Text Solution

    |

  8. Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves rem...

    Text Solution

    |

  9. The integrating factor of the differential equation (dy)/(dx)+(3x^(2)t...

    Text Solution

    |

  10. If y=e^(-x)cos2x then which of the following differential equations is...

    Text Solution

    |

  11. Let f(x) denote the fractional part of a real numbers x. Then the valu...

    Text Solution

    |

  12. Let S={(a,b,c)inNxxNxxN:a+b+c=21,aleblec} and T={(a,b,c)inNxxNxxN:a,b,...

    Text Solution

    |

  13. Let y=e^(x^(2)) and y=e^(x^(2))sinx be two given curves. Then the angl...

    Text Solution

    |

  14. A person goes to office by car or scooter or bus or train, probability...

    Text Solution

    |

  15. The value of int((x-2)dx)/({(x-2)^(2)(x+3)^(7)}^(1//3))is

    Text Solution

    |

  16. In a triangle ABC, angleC=90^(@) , r and R are the in-radius and circu...

    Text Solution

    |

  17. Let alpha,beta be two distinct roots of acostheta+bsintheta=c, where a...

    Text Solution

    |

  18. For a matrix A((1,0,0),(2,1,0),(3,2,1)) if U(1),U(2) and U(3) are 3xx1...

    Text Solution

    |

  19. Let f:RtoR be differentiable at x=0. if f(0)=0 and f'(0)=2 , then the ...

    Text Solution

    |

  20. If x and y are digits such that 17!""=3556xy428096000, then x+y equals

    Text Solution

    |