Home
Class 11
MATHS
Find the values of a and b in order that...

Find the values of a and b in order that `lim_(x->0) (x(1+a cos x)-b sinx)/x^3=1` [using L' Hospital' srule].

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 values of a and b in order that lim_(xto0) (x(1+acosx)-bsinx)/(x^(3))=1.

lim_(xrarr0) (ax+x cos x)/(b sinx)

lim_(x->0)(1+sinx-cosx+ln(1-x))/(x*tan^2x) using LHospitals Rule

lim_(x rarr0)(1/x)^(1-cos x)

The value of ordered pair (a,b) such that lim _(xto0) (x (1+ a cos x ) -b sin x )/( x ^(3))=1, is:

The value of ordered pair (a,b) such that lim _(xto0) (x (1+ a cos x ) -b sin x )/( x ^(3))=1, is:

If lim_(x to 0) (x(1 + a cos x)-b sinx)/(x^3) = 1 , then the value of ab is euqal to

Prove that lim_(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x) (without using L' Hospital srule).

Evaluate: lim_(x->0) (1-cos2x)/(x^2)

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

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("lim")(x to 0)(tanx-sinx)/(x^3)

    Text Solution

    |

  2. The value of ("lim")(n to 0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n)...

    Text Solution

    |

  3. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

    Text Solution

    |

  4. ("lim")(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^x-e)sinpix), where n=100 , is ...

    Text Solution

    |

  5. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

    Text Solution

    |

  6. If lim(x->oo)((x^2+x+1)/(x+1)-a x-b)=4, then

    Text Solution

    |

  7. Evaluate: lim(x->0)(logcosx)/x

    Text Solution

    |

  8. Let L=lim(x->0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. If L is finite ,...

    Text Solution

    |

  9. Evaluate: ("lim")(xto0)(2^x-1)/((1+x)^(1/2)-1)

    Text Solution

    |

  10. The largets value of non negative integer for which lim(x->1){(-a x+si...

    Text Solution

    |

  11. Evaluate: lim(xrarr0)x^x

    Text Solution

    |

  12. Let m and n be two positive integers greater than 1.If lim(alpha->0) (...

    Text Solution

    |

  13. Evaluate: ("dy/dx") of logsinx+tanx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |