Home
Class 12
MATHS
Evaluate the following:lim(xto pi/4) sin...

Evaluate the following:`lim_(xto pi/4) sin((1-tanx)/(1+tanx))/(pi/4-x)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|88 Videos

  • LINEAR INEQUALITIES

    MBD PUBLICATION|Exercise QUESTION BANK|46 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: lim_(xtoinfty) sin(1/x)

Evaluate the following: lim_(xto0) cos(sin x)

Evaluate the following: lim_(xto pi/2)log (1-sin^3x)/cos^2x

Evaluate the following lim_(xto1) (x^3 -1)/(x-1)

Evaluate the following: lim_(xto0)log_e (1+bx)^(1/x)

Evaluate the following lim_(xto3) (x^2 -9)/(x-3)

Evaluate the following lim_(xto0)((3+x)^3-27)/x

Evaluate the following lim_(xto2) (x -2)/(x^4-16)

Evaluate the following: lim_(xto0) (sqrt(1+x)-1)/log_e(1-x)

Evaluate the following lim_(xto1)(x^2-2x+1)/(x^2-x)

MBD PUBLICATION-LIMIT AND DIFFERENTIATION-QUESTION BANK
  1. Evaluate the following:lim(xtoinfty)loge(1+a/x)^x

    Text Solution

    |

  2. Evaluate the following:lim(xto0)loge(1+bx)^(1/x)

    Text Solution

    |

  3. Evaluate the following:lim(xto pi/4) sin((1-tanx)/(1+tanx))/(pi/4-x)

    Text Solution

    |

  4. Evaluate the following:lim(xto pi/2)log (1-sin^3x)/cos^2x

    Text Solution

    |

  5. Evaluate the following:lim(xtoinfty)e^x(a^(1/x)-1)

    Text Solution

    |

  6. Evaluate the following:lim(xto0)(x(e^(sqrt(1+x^2+x^4-1)/x-1)))/(sqrt(1...

    Text Solution

    |

  7. Examine the existence of the following limits:lim(xto0+) logax

    Text Solution

    |

  8. Examine the existence of the following limits:lim(xto pi/2) tanx

    Text Solution

    |

  9. Examine the existence of the following limits:lim(xto0) cosecx

    Text Solution

    |

  10. Examine the existence of the following limits:lim(xto0-)e^(1/x)

    Text Solution

    |

  11. Examine the existence of the following limits:lim(xto0+)e^(1/x)

    Text Solution

    |

  12. Examine the existence of the following limits:lim(xto0)1/(e^(1/x)-1)

    Text Solution

    |

  13. Find the value of a if, lim(xtoalpha)(tana(x-alpha))/(x-alpha)=1/2

    Text Solution

    |

  14. Find the value of a if,lim(xto0)(tanax)/(sin2x)=1

    Text Solution

    |

  15. Find the value of a if,lim(xto0)(e^(ax)-e^x)/x=2

    Text Solution

    |

  16. Find the value of a if,lim(xto1)(5^x-5)/((x-1)logea)=5

    Text Solution

    |

  17. Find the value of a if,lim(xto2)loge(2x-3)/(a(x-2))=1

    Text Solution

    |

  18. Find the derivative of the following functions 'ab initio', that is, u...

    Text Solution

    |

  19. Find the derivative of the following functions 'ab initio', that is, u...

    Text Solution

    |

  20. Find the derivative of the following functions 'ab initio', that is, u...

    Text Solution

    |