Home
Class 11
MATHS
Evaluate the following limits: lim(xto...

Evaluate the following limits:
`lim_(xto(pi)/(4))((cosec^(2)x-2))/((cotx-1))`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (c)|47 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (d)|28 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 13 (a)|57 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits: lim_(xrarr(pi)/(4))((cosec^(2)x-2))/((cotx-1))

Evaluate the following limit: (lim)_(x rarr(pi)/(4))(2-cos ec^(2)x)/(1-cot x)

Evaluate the following Limits lim_(xto0)(sinx)/(tanx)

Evaluate the following limits: lim_(xrarr(pi)/(2))((pi)/(2)-x)tanx

Evaluate the following limits: lim_(x rarr((pi)/(2)))tan x

Evaluate the following limit: (lim)_(x rarr(pi)/(2))(cos^(2)x)/(1-s in x)

Evaluate the following limits : lim_(x to pi/2)(e^(cosx)-1)/cosx

Evaluate the following limits: lim_(xrarr0)(cosec x-cotx)

Evaluate the following Limits lim_(xto pi)(1+sec^(3)x)/(tan^(2)x)

Evaluate the following limits : lim_(x to pi/2)(cotx-cosx)/(cos^(3)x)

MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (b)
  1. Evaluate the following (10-17) limits : lim(x to 0)(sin2x+3x)/(4x-si...

    Text Solution

    |

  2. lim(x->0)(sin2x+3x)/(2x+tan3x)

    Text Solution

    |

  3. lim(x-gt0)(tan2x-sin2x)/(x^3)

    Text Solution

    |

  4. Evaluate the following limits : lim(x to 0)(sin4x-tan4x)/x^(3)

    Text Solution

    |

  5. Evaluate the following (10-17) limits : lim(x to pi//2)(cos^(2)x)/(1...

    Text Solution

    |

  6. Evaluate the following (10-17) limits : lim(y to 0)((x+y)sec(x+y)-xs...

    Text Solution

    |

  7. Evaluate the following limits: lim(xto(pi)/(4))((cosec^(2)x-2))/((co...

    Text Solution

    |

  8. Evaluate the following (10-17) limits : lim(x to 0)(tan3x+x)/(2x+sin...

    Text Solution

    |

  9. Evaluate the following limits : lim(theta to 0)((cosectheta-cottheta...

    Text Solution

    |

  10. Evaluate the following (10-17) limits : 11. lim(x to 1) (1+cospix)/(1...

    Text Solution

    |

  11. lim(x->pi/2)(1+cos2x)/((pi-2x)^2)

    Text Solution

    |

  12. Evaluate the following limits : lim(theta to pi/2)(tan2theta)/(theta...

    Text Solution

    |

  13. lim(x->pi)((sin3x-3sinx)/((pi-x)^3))

    Text Solution

    |

  14. Evaluate the following (10-17) limits : lim(x to pi/2)(cotx)/(pi/2-x...

    Text Solution

    |

  15. Evaluate lim(xto(pi)/(2))(cosx)/(((pi)/(2)-x)).

    Text Solution

    |

  16. Select the correct alternatives out of given four alternatives in each...

    Text Solution

    |

  17. lim(x rarr pi/4)(tan^3x-tanx)/(cos(x+pi/4)

    Text Solution

    |

  18. Evaluate the following lim(t to 1)(1-1/t)/(sin[pi(t-1)])

    Text Solution

    |

  19. Evaluate the following limits: lim(x->pi/2)(pi/2-x)tanx

    Text Solution

    |

  20. Let f(x)={{:(cosx, if ,x ge 0), (x+k, if ,x lt 0.):} Find the value ...

    Text Solution

    |