Home
Class 12
MATHS
lim(x rarr0)(e^(x^(2))-cos x)/(x^(2))" i...

`lim_(x rarr0)(e^(x^(2))-cos x)/(x^(2))" is equal to `" (a) 3/2 (b) 1/2, (c) 2/3, (d) none of these

A

`1//2`

B

`3//2`

C

`2//3`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

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

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numberical Answer)|16 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Single Correct Answer)|10 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

lim_(x rarr0)(e^(x^(2))-cos x)/(sin^(2)x) is equal to

lim_(x rarr0)(x^(2))/(1-cos x)

lim_(x rarr0)(e^(x)+e^(-x)+2cos x-4)/(x^(4)) is equal to

lim_(x rarr0)(3x^(3)+2x^(2)-x)/(x^(2)-x)

Evaluate: lim_(x rarr0)(e^(x^(2))-cos x)/(x^(2))

lim_(x rarr0)x^(2)+3x+3

lim_(x rarr0)(5^(x)sqrt(1+2x)-cos x)/(x) equals to

lim_(x rarr0)x^(2)cos(2/x)

lim_(x rarr0)(2^(x)-3^(x))/(x)

lim_(x rarr0)(e^(x)+e^(-x)-2cos x)/(x sin x)

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 1 (Single Correct Answer)
  1. lim(xto0)(a^x-1)/(sqrt(a+x)-sqrta) is

    Text Solution

    |

  2. f(x) = 3x^10 – 7x^8+ 5x^6 -21x^3 + 3x^2 –7, then is the value of lim(...

    Text Solution

    |

  3. lim(x rarr0)(e^(x^(2))-cos x)/(x^(2))" is equal to " (a) 3/2 (b) 1/...

    Text Solution

    |

  4. Let f(x)=ltxgt^(**), where lt xgt^(**) is the distance from x to the i...

    Text Solution

    |

  5. lim(x to 0) ((1-cos 2x)(3+cosx))/(x tan 4x) is equal to

    Text Solution

    |

  6. lim(xto0)(sin(picos^(2)x))/(x^(2)) is equal to

    Text Solution

    |

  7. Let f(x)=sgn (sgn (sgn x)). Then lim(x to0) f(x) is

    Text Solution

    |

  8. lim(x->a-) {(|x|^3)/a-[x/a]^3} ,(a < 0), where [x] denotes the greates...

    Text Solution

    |

  9. lim(x to 0){(1+tanx)/(1+sinx)}^("cosec x") is equal to

    Text Solution

    |

  10. lim(n->oo) (6^n+5^n)^(1/n) is equal to -

    Text Solution

    |

  11. If f(x)=((x^2+5x+3)/(x^2+x+2))^x then lim(xtooo)f(x) is equal to

    Text Solution

    |

  12. underset(xtooo)lim[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to

    Text Solution

    |

  13. If (lim)(x->-a)(x^9+a^9)/(x+a)9,\ find the real value of adot

    Text Solution

    |

  14. Let f(x)=[x]+[-x], where [x] denotes the greastest integer less than o...

    Text Solution

    |

  15. Let f(x) be a continuous function defined for 1 <= x <= 3. If f(x) tak...

    Text Solution

    |

  16. Let f(x)= {{:(|x| cos (1//x)+9x^2, xne 0),(k, x=0):} then f is cont...

    Text Solution

    |

  17. If f(x)=tan (pi//4 -x)//cot2x for x ne pi//4. The value of f(pi//4) so...

    Text Solution

    |

  18. Let a function f be defined by f(x)="x-|x|"/x for x ne 0 and f(0)=2. T...

    Text Solution

    |

  19. If f(x) is a continuous function satisfying f(x)f(1/x) =f(x)+f(1/x) an...

    Text Solution

    |

  20. The function f(x) = (x-1)^(1/((2-x)) is not defined at x = 2. The valu...

    Text Solution

    |