Home
Class 11
MATHS
Evaluate: ("lim")(x->pi/2)(cosx)^(cosx)...

Evaluate: `("lim")_(x->pi/2)(cosx)^(cosx)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate: ("lim")_(xrarr0)(cosx)^(cotx)

(lim)_(x->0)(cos2x-1)/(cosx-1)

Evaluate ("lim")_(x->0) (sinx-2)/(cosx-1)

(lim)_(x->0)(cosx)/(pi-x)

Evaluate lim_(x->pi)(1-sinx/2)/(cosx/2(cosx/4-sinx/4)

Evaluate ("lim")_(x->(5pi)/4) [sinx+cosx], where [.] denotes the greatest integer function.

Evaluate: ("lim")_(xto pi/4)(sqrt(2)cosx-1)/(cotx-1)

Evaluate lim_(xto (pi^(-))/(2)) (cosx)^(cosx).

Evaluate: ("lim")_(xvec0)(x2^x-x)/(1-cosx)

Evaluate: ("lim")_(xvec0)(e^x^2-cosx)/(x^2)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the limit: ("lim")(xvecoo)((x+2)/(x+1))^(x+3)

    Text Solution

    |

  2. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  3. Evaluate: ("lim")(x->pi/2)(cosx)^(cosx)

    Text Solution

    |

  4. ("lim")(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals t...

    Text Solution

    |

  5. Evaluate: ("lim")(x->0)(1+x)^(cos e cx )

    Text Solution

    |

  6. ("lim")(xrarroo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0...

    Text Solution

    |

  7. Evaluate: ("lim")(xrarr0)(cosx)^(cotx)

    Text Solution

    |

  8. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (c)...

    Text Solution

    |

  9. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |

  10. lim(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a)...

    Text Solution

    |

  11. Evaluate: ("lim")(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

    Text Solution

    |

  12. ("lim")(xvec0)(x^asin^b x)/(sin(x^c)), where a , b , c in R ~{0},exis...

    Text Solution

    |

  13. ("lim")(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

    Text Solution

    |

  14. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

    Text Solution

    |

  15. Evaluate the following limits using sandwich theorem: ("lim")(xvecoo)(...

    Text Solution

    |

  16. The value of lim(x rarr 1)(2-x)^(tan((pix)/2)) is (a) e^(-2/pi) (b) e...

    Text Solution

    |

  17. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

    Text Solution

    |

  18. lim(x->0)(sinx)^n/(sinx)^m,(mltn), is equal to (a)1 (b) 0 (c) n//m ...

    Text Solution

    |

  19. If (x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2+2x−1)/(x+3) hold for a certai...

    Text Solution

    |

  20. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

    Text Solution

    |