Home
Class 12
MATHS
Fill in the blanks: lim(x rarr 0) (1+si...

Fill in the blanks: `lim_(x rarr 0) (1+sin x)^(cosec x)` _____.

Promotional Banner

Topper's Solved these Questions

  • Limit, Indetermine Form

    A DAS GUPTA|Exercise Exercise|64 Videos
  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos
  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr0)x log(sin x)

lim_(x rarr0) (sin x)/(x)

lim_(x rarr0)(1+sin x)^(cot x)

lim_(x rarr0)(sin x)^(x) =

lim_(x rarr0)(sin x)/(xcos x)

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

lim_(x rarr0)(sin x)^(x)

lim_(x rarr0)(sin x)/(pi-x)

lim_(x rarr0)(sin x)/(x)=1

lim_(x rarr0)(sin x)/(x+5)

A DAS GUPTA-Limit, Indetermine Form-Exercise
  1. Fill in the blanks: lim(x rarr oo )(sqrt(x))/(sqrt(x)+sqrt(x)+sqrt(x))...

    Text Solution

    |

  2. lim(h->0)(log(1+2h)-2log(1+h))/(h^2)=.........

    Text Solution

    |

  3. Fill in the blanks: lim(x rarr 0) (1+sin x)^(cosec x) .

    Text Solution

    |

  4. lim(x-gtoo){(x+6)/(x+1)}^(x+4)

    Text Solution

    |

  5. Fill in the blanks: lim(n rarr oo) ((3x-4)/(3x+2))^((x+1)/3) .

    Text Solution

    |

  6. ("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=

    Text Solution

    |

  7. Fill in the blanks: lim(x rarr oo) ((x^2+1)/(x^2-1))^(x^2)=

    Text Solution

    |

  8. Lim(x->0) {x(1+acosx)-bsinx}/x^3=1 then

    Text Solution

    |

  9. If f'(2)=2, f''(2) =1, then lim(xto2)(2x^2-4f'(x))/(x-2), is

    Text Solution

    |

  10. If f(9)=9 , f'(9)= 4 then lim (x rarr9) (sqrt f(x) -3)/(sqrt(x)-3) =.

    Text Solution

    |

  11. If G(x)=-sqrt(25-x^2),t h e n("lim")(xvec1)(G(x)-G(1))/(x-1)i s 1/(24...

    Text Solution

    |

  12. If f(a) =2, f'(a)=1, g(a) =-1 , g' (a)=2, then the value of lim(xto a)...

    Text Solution

    |

  13. If lim(x rarr a)(px+q)/(qx+p)=l and lim(x rarr0)(px+q)/(qx+p)=m where ...

    Text Solution

    |

  14. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

    Text Solution

    |

  15. lim(x->0)(x e^x-log(1+x))/(x^2) equals

    Text Solution

    |

  16. Lim(x->0) {x(1+acosx)-bsinx}/x^3=1 then

    Text Solution

    |

  17. Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...

    Text Solution

    |

  18. lim (x rarr pi/2) (2x-pi)/cos x is equal to

    Text Solution

    |

  19. evaluate lim(thetararrpi/4)(sqrt2-costheta-sintheta)/(4theta-pi)^2

    Text Solution

    |

  20. If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...

    Text Solution

    |