Home
Class 11
MATHS
lim(x rarr 0) (e^(x^2)-cosx)/x^2 =...

`lim_(x rarr 0) (e^(x^2)-cosx)/x^2` =

A

0

B

`1/2`

C

1

D

`3/2` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE|319 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit : lim_(x rarr 0) (e^(4x)-1)/x .

Evaluate the following limit : lim_(x rarr 0) (e^(3x)-1)/x .

Evaluate : lim_(x rarr 0) (e^x+e^(-x)-2)/x^2 .

Evaluate : lim_(x rarr 0) (e^(3x)-e^(2x))/x .

Evaluate the following limit : lim_(x rarr 0) (e^(3+x)-sinx-e^3)/x .

Evaluate the following limit : lim_(x rarr 0) (e^x-x-1)/x .

Evaluate : lim_(x rarr 0)(1-cos 3x)/x^2 .

Evaluate the following : lim_(x rarr 0)((cos ax-cos bx)/x^2) .

Evaluate the following limit : lim_(x rarr 0) (e^x-e^(-x))/x .

Evaluate the following limit : lim_(x rarr 0) (e^x-sinx-1)/x .

MODERN PUBLICATION-PROBABILITY -EXERCISE
  1. lim(x rarr pi/2) [sin x] is :

    Text Solution

    |

  2. The value of lim(x rarr 0) (sin bx)/(sin ax) is equal to:

    Text Solution

    |

  3. lim(x rarr pi/2) (cotx-cos x)/(pi-2x)^3 equals :

    Text Solution

    |

  4. Let f(x)= (sqrt(x+3))/(x+1), then the value of lim(x rarr -3^-) f(x) i...

    Text Solution

    |

  5. Let alpha and beta be the roots of ax^2 + bx +c =0, then underset(x to...

    Text Solution

    |

  6. If f (9) = 9, f '(9) = 1, then lim(x rarr 9) (8-sqrt(f(x)))/(3-sqrtx) ...

    Text Solution

    |

  7. lim(n rarr oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n)) =

    Text Solution

    |

  8. Discuss the continuity of the function f(x) = underset(n rarr oo)(lim)...

    Text Solution

    |

  9. lim(x rarr 0) (e^(x^2)-cosx)/x^2 =

    Text Solution

    |

  10. The value of lim(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtb) is

    Text Solution

    |

  11. Events A, B, C are mutually exclusive events such that P (A) = (3x+1)/...

    Text Solution

    |

  12. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  13. If three distinct number are chosen randomly from the first 100 natura...

    Text Solution

    |

  14. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  15. Two aeroplanes I and II bomb a target in successions. The probabilitie...

    Text Solution

    |

  16. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. ...

    Text Solution

    |

  17. Let L=lim(xto0)(a-sqrt(a^(2)-x^(2))-(x^(2))/4)/(x^(4)),agt0. If L is f...

    Text Solution

    |

  18. If the mean deviation about the median of the numbers: a, 2a,.......,...

    Text Solution

    |

  19. Let f: R rarr [10,oo) be such that lim(x rarr 5)f(x) exists and lim(x...

    Text Solution

    |

  20. A scientist is weighting each of 30 fishes. Their mean weight worked o...

    Text Solution

    |