Home
Class 12
MATHS
lim(x to 1)((1+x)/(2+x))^(1/2)...

`lim_(x to 1)((1+x)/(2+x))^(1/2)`

A

is 1

B

does not exist

C

is ` sqrt((2)/(3))`

D

is 2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(x to 0) ((x+4)/(2-x))^((x^(2)+2x-3)/(x-1))

The value of lim_(x to 0)(1-cos x)/(x^(2))

Evaluate: lim_(x to 0)(3^(x)-1)/((4+x)^(1/2)-2)

lim _( x to oo) (1+ (1)/(x))^(x//2) is equal to-

lim_(x to 1) (1-x)tan((pix)/2)

Evaluate lim_(x to 0) (2^(x)-1)/((1+x)^(1//2)-1)

If G(x) = -sqrt(25-x^2) then lim_(x to 1) (G(x)-G(1))/(x-1) = ?

The value of [lim_(x to 0)((sinx)/(x))^(sinx/(x-sinx))+lim_(x to 1)x^(1/(1-x))] is

If lim_(xto0)(f(x))/(sin^(2)x)=8,lim_(xto0)(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(x to 0)(1+2f(x))^((1)/(g(x)))=(1)/(e)," then" lim_(x to 0)(1+f(x))^((1)/(2g(x))) is equal to

lim_(x to 1/2) (2x^2-3x+1)/(2x-1) = ?

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. If y=(1+x)(1+x^(2))(1+x^(4))…..(1+x^(2n)) then the value of ((dy)/(dx)...

    Text Solution

    |

  2. IF f(x) is an odd differentiable function defined on (-oo, oo) such th...

    Text Solution

    |

  3. lim(x to 1)((1+x)/(2+x))^(1/2)

    Text Solution

    |

  4. If f(x)=tan^(-1)[(log((e )/(x^(2))))/(log (ex^(2)))]+tan^(-1)[(3+2 lo...

    Text Solution

    |

  5. int(log sqrt(x))/(3x)dx is equal to

    Text Solution

    |

  6. int 2^(x)(f'(x)+f(x)log 2)dx is equal to

    Text Solution

    |

  7. int(0)^(1)log((1)/(x)-1)dx=

    Text Solution

    |

  8. The value of lim(n to oo){(sqrt(n+1)+sqrt(n+2)+…+sqrt(2n-1))/(n^(3//2)...

    Text Solution

    |

  9. If the solution of the differential equation x(dy)/(dx)+y=xe^(x) be, x...

    Text Solution

    |

  10. The order of the differential equation of all parabolas whose axis of ...

    Text Solution

    |

  11. The line y=x+lambda is tangent to the ellipse 2x^(2)+3y^(2)=1. Then la...

    Text Solution

    |

  12. The area enclosed by y=sqrt(5-x^(2)) nd y=|x-1| is

    Text Solution

    |

  13. Let S be the set of points whose abscissas and ordinates are natural n...

    Text Solution

    |

  14. Time period T of a simple pendulum of length l is given by T = 2pi sqr...

    Text Solution

    |

  15. The cosine of the angle between any two diagonals of a cube is

    Text Solution

    |

  16. If x is a positive real number different from 1 such that log(a)x,log(...

    Text Solution

    |

  17. If a, x are real numbers and |a|lt 1, |x|lt 1, then 1+(1+a)x+(1+a+a^(2...

    Text Solution

    |

  18. If log(0.3)(x-1)lt log(0.09)(x-1), then x lies in the interval

    Text Solution

    |

  19. The value of sum(n=1)^(13)(i^(n)+i^(n+1)),i=sqrt(-1) is

    Text Solution

    |

  20. If z(1), z(2), z(3) are complex numbers such that |z(1)|=|z(2)|=|z(3)|...

    Text Solution

    |