Home
Class 11
MATHS
lim(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is...

`lim_(x->0)(sin(x^2))/(1n(cos(2x^2-x)))` is equal to
(a) `2 `
(b) `-2`
(c) `1`
(d) `-1`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

lim_(xto-2) (sin ^(-1) (x+2))/(x^(2) +2x) is equal to-

("lim")_(ntooo)1/(1+nsin^2n x) is equal to (a) -1 (b) 0 (c) 1 (d) oo

lim_(x to pi/2)sin(xcosx)/("cos"(xsinx)) is equal to (a) 0 (b) pi/2 (c) pi (d) 2pi

lim_(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

lim_(xto0) (sqrt(1-cos 2x))/(sqrt2x) is equal to-

lim_(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 (b) 24 (c) 32 (d) 8

lim_(xtooo) (2+2x+sin2x)/((2x+sin2x)e^(sinx)) is equal to

Evaluate: lim_(x->0)(1/(x^2)-1/(sin^2x))

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...

    Text Solution

    |

  2. Evaluate : lim(x->0)(log)(tan^2x)(tan^2 2x)dot

    Text Solution

    |

  3. lim(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 ...

    Text Solution

    |

  4. If the graph of the function y=f(x) has a unique tangent at the point ...

    Text Solution

    |

  5. underset(xto-1)lim(1)/(sqrt(|x|-{-x})) (where {x} denotes the fraction...

    Text Solution

    |

  6. Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot

    Text Solution

    |

  7. Let f(x)=("lim")(nvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

    Text Solution

    |

  8. Evaluate (lim(x->oo))(x(log)e{(sin(a+1/x))/(sina)}), 0 lt a lt pi/2

    Text Solution

    |

  9. lim(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x ...

    Text Solution

    |

  10. Evaluate: lim(x->0)(2^x-1)/((1+x)^(1/2)-1)

    Text Solution

    |

  11. If f(n+1)=1/2{f(n)+9/(f(n))},n in N , and f(n)>0 for all n in...

    Text Solution

    |

  12. Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).

    Text Solution

    |

  13. Find lim(x->0)(5x+2cosx)/(3x+14) using sandwitch theorem

    Text Solution

    |

  14. Evaluate : [underset(x to 0)lim (tan x)/(x)], where [*] represents the...

    Text Solution

    |

  15. If lim(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the range of x.

    Text Solution

    |

  16. Evaluate : [underset(x to 0)lim (tan x)/(x)], where [*] represents the...

    Text Solution

    |

  17. Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

    Text Solution

    |

  18. Evaluate: lim(x->2)(x-2)/((log)a(x-1))

    Text Solution

    |

  19. Evaluate: lim(x->0)(e^(sinx)-(1+sinx))/({tan^(-1)(sinx)}^2)

    Text Solution

    |

  20. Evaluate: lim(x->a)(logx-loga)/(x-a)

    Text Solution

    |