Home
Class 11
MATHS
Evaluate the following limit: lim(x->pi/...

Evaluate the following limit: `lim_(x->pi/2)(sin2x)/(cos x)`

Text Solution

Verified by Experts

`lim_(x->pi/2)(sin2x)/(cos x)`
`=lim_(x->pi/2)(2sinxcosx)/(cos x)`
`=lim_(x->pi/2)(2sinx)`
`=2sin (pi/2)`
`=2xx1`
`=2`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA|Exercise Solved Examples And Exercises|114 Videos

  • LINEAR INEQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|163 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit (lim)_(x->pi/2)(sin x)^(tanx)

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

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

Evaluate the following limit: (lim)_(x->0)(cos2x-cos e c2x)/x

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

Evaluate the following limit: (lim)_(x->0)(e^(sin2x)-e^(sin\ x))/x

Evaluate the following limit: (lim)_(x rarr0)(sin2x)/(e^(x)-1)

Evaluate the following limit: (lim)_(x->0)(1-"cos"(1-cos x))/(sin^4x)

Evaluate the following limit: (lim)_(x->(3pi)/4)(1-tan3x)/(1-2cos^2x)

Evaluate the following limit: (lim)_(x rarr0)(sin x cos x)/(3x)

RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: lim(x->pi)(1+cos x)/(tan^2x)

    Text Solution

    |

  2. Evaluate the following limit: (lim)(n->oo)2^(n-1)sin(a/(2^n))

    Text Solution

    |

  3. Evaluate the following limit: lim(x->pi/2)(sin2x)/(cos x)

    Text Solution

    |

  4. Evaluate lim(x->pi/3)(sqrt(1-cos6x))/(sqrt2(pi/3-x))

    Text Solution

    |

  5. Evaluate the following limit: lim(x->pi/4)(1-t a n x)/(x-pi/4)

    Text Solution

    |

  6. Evaluate the following limit: lim(x->pi/3)(sqrt(3)-t a n x)/(pi-3x)

    Text Solution

    |

  7. Evaluate the following limit: lim(x->pi//2)(sqrt(2)-sqrt(1+sin x))/(co...

    Text Solution

    |

  8. Evaluate the following limit: lim(x->pi/4)(sqrt(2)-cos x-sin x)/((pi/4...

    Text Solution

    |

  9. Evaluate the following limit: lim(x->a)(cos x-cos a)/(sqrt(x)-sqrt(a))

    Text Solution

    |

  10. Evaluate the following limit: lim(x->a)(cossqrt(x)-cossqrt(a))/(x-a)

    Text Solution

    |

  11. Evaluate the following limit: lim(x->1)(1+cospix)/((1-x)^2)

    Text Solution

    |

  12. Evaluate lim(x->pi/4)(1-sin2x)/(1+cos4x)

    Text Solution

    |

  13. Evaluate: (lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

    Text Solution

    |

  14. Evaluate the following limit: lim(n->oo)(sin(a/(2^n)))/(sin(b/(2^(n\ )...

    Text Solution

    |

  15. Evaluate the following limit: lim(x->2)(x^2-x-2)/(x^2-2x+"sin"(x-2))

    Text Solution

    |

  16. lim(x->1)(1-x)tan(pix)/2=

    Text Solution

    |

  17. The value of lim(x->pi) (sqrt(2+cosx)-1)/(x-pi)^2

    Text Solution

    |

  18. Evaluate the following limit: lim(x->1)(1-1/x)/(sinpi(x-1))

    Text Solution

    |

  19. Evaluate the following limit: lim(x->pi/4)(sqrt(2)-cos x-sin x)/((4x-p...

    Text Solution

    |

  20. Evaluate the following limit: lim(x->pi/4)(cos x-sin x)/((pi/4-x)(cos ...

    Text Solution

    |