Home
Class 11
MATHS
If m , n in I0a n d("lim")(xrarr0)(tan2...

If `m , n in I_0a n d("lim")_(xrarr0)(tan2x-nsinx)/(x^3)=` some integer, then find the value of `n` and also the value of limit.

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

If lim_(xrarr0)(sin2x-asinx)/(x^(3)) exists finitely, then the value of a is

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

lim_(xrarr0) (tan 4x)/(tan 2x)

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

lim_(xrarr0) (sin 2x+x)/(x+tan 3x)=?

lim_(xrarr0)(tan2x-x)/(3x-sinx) is equal to

If ("lim")_(x->2)(x^n-2^n)/(x-2)=80 and n in N ,then find the value of n.

Evaluate the limit ("lim")_(xrarr0)(sin3x)/x

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

Evaluate ("lim")_(xrarr0)(sqrt(2+x)-sqrt(2))/x

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("dy/dx") of logsinx+tanx

    Text Solution

    |

  2. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

    Text Solution

    |

  3. If m , n in I0a n d("lim")(xrarr0)(tan2x-nsinx)/(x^3)= some integer,...

    Text Solution

    |

  4. If ("lim")(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is no...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |