Home
Class 12
MATHS
Let f(x) be a function such that ("li...

Let `f(x)` be a function such that `("lim")_(xvec0)(f(x))/x=1` and `("lim")_(xvec0)(x(1+acosx)-bsinx)/((f(x))^3)=1` , then `b-3a` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate: ("lim")_(xvec0)(tanx-sinx)/(x^3)

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

("lim")_(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

Evaluate: ("lim")_(xvec0)(x2^x-x)/(1-cosx)

Evaluate ("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

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

Evaluate: ("lim")_(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

Evaluate: ("lim")_(xvec0)(e^x^2-cosx)/(x^2)

Evaluate: ("lim")_(xvec0)(e^x+e^(-x)-2)/(x^2)

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

    Text Solution

    |

  2. Let f(x) is a cubic polynomial with real coefficients, x in R such tha...

    Text Solution

    |

  3. Let f(x) be a function such that ("lim")(xvec0)(f(x))/x=1 and ("lim...

    Text Solution

    |

  4. Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = ...

    Text Solution

    |

  5. If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  6. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

    Text Solution

    |

  7. Let In = int0^(npi) sinx/(1+x) dx n = 1,2,3,4. Arrange I1 , I2, I3,I4 ...

    Text Solution

    |

  8. Number of triplets of a, b & c for which the system of equations, ax -...

    Text Solution

    |

  9. int(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-x))+((e^x-e^(-x))/2)]dx is

    Text Solution

    |

  10. Find the coefficient of x^(50) after simplifying and collecting the li...

    Text Solution

    |

  11. A function is reprersented parametrically by the equations x=(1+t)/(t^...

    Text Solution

    |

  12. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

    Text Solution

    |

  13. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  14. The centres of two circles C(1)andC(2) each of unit radius are at a di...

    Text Solution

    |

  15. Consider circles C(1): x^(2) +y^(2) +2x - 2y +p = 0 C(2): x^(2) +y...

    Text Solution

    |

  16. If alpha and beta are the eccentric angles of the extremities of a f...

    Text Solution

    |

  17. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  18. Find the equations of the sides of the triangle having (3,-1) as a vtr...

    Text Solution

    |

  19. int^(x costheta+1)/((x^2+2x costheta+1)^(3//2)) is sqrt(x costheta+1)+...

    Text Solution

    |

  20. If [.] denotes the greatest integer less than or equal to x and (.) de...

    Text Solution

    |