Home
Class 11
MATHS
The value of lim(x->0)((sinx)^(1/x)+(1/x...

The value of `lim_(x->0)((sinx)^(1/x)+(1/x)^(sinx))` , where `x >0,` is (a)0 (b) `-1` (c) 1 (d) 2

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

Find the value of lim_(x->0)(1/sinx-1/x)

Find the value of lim_(x->0)(1/sinx-1/x)

The value of lim_(x->a) (sinx/sina)^(1/(x-a))=

The value of lim_(xrarr0)((sinx)/(x))^((1)/(x^2)) , is

The value of lim_(xrarr0) (x^2sin((1)/(x)))/(sinx) , is

The value of lim_(xrarr0) ((sinx)/(x))^((sinx)/(x-sinx)) , is

Find the value of lim_(xto0^(+)) (sinx)^((1)/(x)) .

The value of lim_(x to 0) (e^x-e^sinx)/(2(x-sinx)) , is

Evaluate : lim_(xto 0) (e^(sinx)-1)/x

The value of lim_(xto0) (1+sinx-cosx+log(1-x))/(x^(3)) is

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If ("lim")(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is no...

    Text Solution

    |

  2. If ("lim")(xto0)(cos4x+acos2x+b)/(x^4) is finite, find a and b using e...

    Text Solution

    |

  3. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

    Text Solution

    |

  4. If lim(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0, then find the value o...

    Text Solution

    |

  5. If lim(x->0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,where theta...

    Text Solution

    |

  6. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

    Text Solution

    |

  7. Evaluate: ("lim")(x to oo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x...

    Text Solution

    |

  8. Evaluate: ("lim")(xrarr0)(sinx^0)/x

    Text Solution

    |

  9. Evaluate: ("lim")(xto0)(1-"cos"(1-cosx)dot)/(x^4)

    Text Solution

    |

  10. Evaluate: [("lim")(xrarr0)(tan^(-1)x)/x], where [.]represent the g...

    Text Solution

    |

  11. Let f(x)={x+1,x >0 \n 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2x...

    Text Solution

    |

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

    Text Solution

    |

  13. lim(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the gre...

    Text Solution

    |

  14. Evaluate: ("lim")(xvec0)(1-cosm x)/(1-cosn x)

    Text Solution

    |

  15. lim(x->oo)cot^(-1)(x^(-a)loga x)/(sec^(-1)(a^xlogx a)),(a >1)is equal ...

    Text Solution

    |

  16. Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)

    Text Solution

    |

  17. The value of ("lim")(xveca)sqrt(a^2-x^2)cot(pi/2)sqrt((a-x)/(a+x)) is ...

    Text Solution

    |

  18. Evaluate: ("lim")(xvec0)(cot2x-cos e c2x)/x

    Text Solution

    |

  19. lim(x-&gt;0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)= (a)-1 (b) ...

    Text Solution

    |

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

    Text Solution

    |