Home
Class 11
MATHS
Evaluate: ("lim")(xrarr0)(sinx^0)/x...

Evaluate: `("lim")_(xrarr0)(sinx^0)/x`

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

lim_(xrarr0) (sinx)/(x)= ?

Evaluate: [("lim")_(xrarr0)(tan^(-1)x)/x], where [.]represent the greatest integer function

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

lim_(xrarr0) (sin 3 x)/(2x)

lim_(xrarr0)(sin(x)/(4))/(x)

Evaluate: lim_(xrarr0)(sin5x)/(tan3x) .

lim_(xrarr0)x sec x

lim_(xrarr0)(xlogx)

Evaluate: lim_(xrarr0)x^x

Evaluate: lim_(xrarr0) (tan x-sin x)/(x^(3))

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The value of lim(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)...

    Text Solution

    |

  17. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  18. Evaluate: ("lim")(xrarr0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2...

    Text Solution

    |

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

    Text Solution

    |

  20. Evaluate:lim(n->oo)n{sqrt((1-cos(1/n))sqrt((1-cos(1/n))sqrt((1-cos(1/n...

    Text Solution

    |