Home
Class 11
MATHS
Evaluate lim(x rarr 1) (sqrt(x^(2)-1)+sq...

Evaluate `lim_(x rarr 1) (sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise Question Bank|45 Videos

  • LINEAR INEQUALITIES

    V PUBLICATION|Exercise QUESTIONBANK|95 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(x rarr 0) (sqrt(1 + x) - 1)/x

Evaluate: lim_(x rarr 0) x/(sqrt(a+x)-sqrt(a-x))

Evaluate lim_(x rarr 0) (sqrt(1 +x) - sqrt(1 - x))/(2x)

Evaluate lim_(x rarr 1) (2/(1-x^(2))+1/(x-1))

lim_(xrarr0)(sqrt(1+x)-1)/x

Evaluate lim_(xrarra) (sqrt(a + 2x) - sqrt(3x))/(sqrt(3a + x) - 2sqrtx)

Evaluate lim_(x rarr 2) (x^3 - 4)/(sqrt(3x -2) - sqrt(x+2))

Evalute lim_(xrarr0)(sqrt(1+x)+sqrt(1-x))/(1+x)

Evaluate lim_(x rarr 0) (cos 2x - 1)/(cos x - 1)

lim_(x rarr oo) sqrt(x^(2)+1)- sqrt(x^(2)-1) = a)-1 b)1 c)0 d)2

V PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Find the derivative of (x + cos x) (x- tan x)

    Text Solution

    |

  2. Differentiate (4x+5sin x)/(3x+7 cos x)

    Text Solution

    |

  3. Find the derivative of f(x)=(x^(2)cos (pi/4))/(sin x)

    Text Solution

    |

  4. Find the derivative of [x/(1+tan x)]

    Text Solution

    |

  5. Differentiate (x+sec x)(x-tan x)

    Text Solution

    |

  6. Evaluatelim(x rarr 1) (2/(1-x^(2))+1/(x-1))

    Text Solution

    |

  7. Evaluate: lim(x rarr 0) x/(sqrt(a+x)-sqrt(a-x))

    Text Solution

    |

  8. Find the value of k, if lim(x rarr 1) (x^(4)-1)/(x-1) = lim(x rarr k)(...

    Text Solution

    |

  9. Evaluate lim(x rarr 1) ((x + x^2 + .........+ x^n)-n)/(x - 1)

    Text Solution

    |

  10. Evaluate the following limits lim(x rarr 0) (tan x - sin x)/x^(3)

    Text Solution

    |

  11. Evaluate: lim(x rarr 0) (sin 2x + sin 6x)/(sin 5x - sin 3x)

    Text Solution

    |

  12. Evaluate: (i) lim(x rarr 1) (x^(2)+6x+4) (ii)lim(x rarr 4) (x^(3)+4)/(...

    Text Solution

    |

  13. Evaluate lim(x rarr 1) (sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))

    Text Solution

    |

  14. Find k so that lim(x rarr 2) f(x) exists, where f(x) = {(2x+3 if xle2)...

    Text Solution

    |

  15. If for the function h, given by h(x) = kx^(2)+7x-4, h^(')(5)=97, find ...

    Text Solution

    |

  16. If u, v, w are three differentiable functions of x, prove that d/dx ...

    Text Solution

    |

  17. If y = 1 + x/(1!)+x^(2)/(2!)+x^(3)/(3!)+...., show that dy/dx = y.

    Text Solution

    |

  18. It is known that for x ne 1, we have 1+x+x^(2)+….+x^(n-1)= (1-x^(n))/(...

    Text Solution

    |

  19. Evalute lim(xrarr1)(x^7-1)/(x^4-1)

    Text Solution

    |

  20. If xy=c^2 , prove that x^2dy/dx+c^2=0

    Text Solution

    |