Home
Class 11
MATHS
Evaluate: ("lim")(nvec0)(1^(1//sin^2x)+2...

Evaluate: `("lim")_(nvec0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))^(sin^2x)`

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_(xto0) {1^(1//sin^(2)x)+2^(1//sin^(2)x)+...+n^(1//sin^(2)x)}^(sin^(2)x) .

Evaluate: lim_(x->0)(1/(x^2)-1/(sin^2x))

Evaluate: ("lim")_(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

Evaluate : lim_(xto 0) (10^(x) - 2^(x) -5^(x)+1)/(sin^(2)x)

Evaluate lim_(xto0) ((1)/(x^(2))-(1)/(sin^(2)x)).

Solve (1+sin^2x-cos^2x)/(1+sin^2x+cos^2x)

the value of lim_(x->0){(cosx)^(1/(sin^2x))+(sin2x+2tan^-13x+3x^2)/(ln(1+3x+sin^2x)+xe^x)}

lim_(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

Evaluate: int1/(sin^2x+sin2x)dx

The value of lim_(xrarr0^(+))((1-cos(sin^(2)x))/(x^(2)))^((log_(e)(1-2x^(2)))/(sin^(2)x)) is

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("lim")(xvec1)("sin"{x})/({x}) if exists, where {x} is the f...

    Text Solution

    |

  2. Evaluate: ("lim")(xvec-2^+) (x^2-1)/(2x+4)

    Text Solution

    |

  3. Evaluate: ("lim")(nvec0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))...

    Text Solution

    |

  4. Let f(x)={cos[x],xgeq0|x|+a ,x<0 The find the value of a , so that (...

    Text Solution

    |

  5. If f(x)=|x-1|-[x], \where\ [x] is the greatest integer less then or eq...

    Text Solution

    |

  6. If y=2^(-2^((1/(1-x))) , then find lim(x->1^+)y

    Text Solution

    |

  7. Let f(x)={1+(2x)/a ,0lt=x&lt;1 and ax ,1lt=x&lt;2 If lim(x->1)f(x) e...

    Text Solution

    |

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

    Text Solution

    |

  9. (lim)(xrarr0)(sin(picos^2x)/(x^2)) is equal to (a) -pi (b) pi (c) ...

    Text Solution

    |

  10. Evaluate lim(x->0^-) (x^2-3x+2)/(x^3-2x^2)

    Text Solution

    |

  11. For x in R, lim(xrarroo)((x-3)/(x+2))^x is equal to (a) e (b) e^(-1) ...

    Text Solution

    |

  12. Evaluate lim(n-&gt;oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

    Text Solution

    |

  13. ("lim")(xvecoo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)}i se q u a lto 0 ...

    Text Solution

    |

  14. Evaluate ("lim")(x->(5pi)/4) [sinx+cosx], where [.] denotes the greate...

    Text Solution

    |

  15. If G(x)=-sqrt(25-x^2),t h e n lim(x->1)(G(x)-G(1))/(x-1)i s (a)1/(2...

    Text Solution

    |

  16. Evaluate the left-and right-hand limits of the function defined by f(...

    Text Solution

    |

  17. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

    Text Solution

    |

  18. Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/...

    Text Solution

    |

  19. If ("lim")(x->a)[f(x)g(x)] exists, then both ("lim")(x->a)f(x)a n d("l...

    Text Solution

    |

  20. If alpha1, ,alpha2, ,alphan are the roots of equation x^n+n a x-b=0, ...

    Text Solution

    |