Home
Class 12
MATHS
Evaluate: ("lim")(nvecpi/2)(sinx-(sinx)^...

Evaluate: `("lim")_(nvecpi/2)(sinx-(sinx)^(sinx))/(-sinx+(log)_esinx)`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto pi//2) (sinx-(sinx)^(sinx))/(1-sinx+log_(e)sinx) .

Evaluate ("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

y=x^(sinx)+a^(sinx)

("lim")_(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

Evaluate underset(xto pi//2)lim(sinx-(sinx)^(sinx))/(1-sinx+log_(e)sinx) .

Evaluate: ("lim")_(xvec0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

Evaluate ("lim")_(x->0) (sinx-2)/(cosx-1)

Evaluate: ("lim")_(xrarr0)(sinx^0)/x

Evaluate lim_(x to 0) ((sinx)/(x))^(((sinx)/(x-sinx))).

Evaluate: lim_(n->0)(e^(sinx)-(1+sinx))/({tan^(-1)(sinx)}^2)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. Let f(x) be a function satisfying f(x+y)=f(x)f(y) for all x,y in R and...

    Text Solution

    |

  2. "If "f(x)+f(y)=f((x+y)/(1-xy))" for all "x,y in R, (xyne1), and under...

    Text Solution

    |

  3. Let f(x) be real valued differentiable function not identically zero s...

    Text Solution

    |

  4. lim(x->oo)(1+a^2)^xsinb/((1+a^2)^x), where a!=0 (a) Both f (x) and g(x...

    Text Solution

    |

  5. If x=int(0)^(y)(dt)/(sqrt(1+9t^(2)))and (d^(2)y)/(dx^(2))=a^(2)y then ...

    Text Solution

    |

  6. Two functions f and g have first and second derivates at x=0 and satis...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. "If "y=tan^(-1)""(1)/(1+x+x^(2))+tan^(-1)""(1)/(x^(2)+3x+3)+tan^(-1)""...

    Text Solution

    |

  9. If y=f(x) and x=g(y) are inverse of each other. Then g'(y) and g"(y) i...

    Text Solution

    |

  10. Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) ...

    Text Solution

    |

  11. Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) ...

    Text Solution

    |

  12. Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) ...

    Text Solution

    |

  13. The value of lim(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)...

    Text Solution

    |

  14. Evaluate: ("lim")(nvecpi/2)(sinx-(sinx)^(sinx))/(-sinx+(log)esinx)

    Text Solution

    |

  15. If f(x) = (1)/(x^(2) - 17 x + 66), then f((2)/(x - 2)) is discontinuou...

    Text Solution

    |

  16. if f(x) =x^(2) + (x^(2))/(1+x^(2)) + (x^(2))/((1+x^(2))^(2)) +……" upt...

    Text Solution

    |

  17. The point of discontinuity of f(x)=underset(n to oo)lim ((2 sin x)^(2...

    Text Solution

    |

  18. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

    Text Solution

    |

  19. The value of lim(xto0)((1^(x)+2^(x)+3^(x)+…………+n^(x))/n)^(a//x) is

    Text Solution

    |

  20. A single formula that gives f(x) for all x ge0 where f(x)={(3+x, 0lexl...

    Text Solution

    |