Home
Class 12
MATHS
Let f(x)=3x^(10)-7x^8+5x^6-21x^3+3x^2-7....

Let `f(x)=3x^(10)-7x^8+5x^6-21x^3+3x^2-7`. Then `lim_(hto0)(f(1-h)-f(1))/(h^3+3h)`

A

does not exist

B

`(50)/(3)`

C

`(53)/(3)`

D

`(22)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

Let f (x) be a differentiable function and f '(1) =4,f'(2) =6 where f '(c ) means the derivative of function f(x) at x=c. Then lim _(hto0)(f(2 +2h +h^(2))-f(2))/(f (1+h-h^(2))-f(1)) is equal to-

If f(x)=2x^2-3x+5, find f(a+h) and (f(a+h)-f(a))/(h)

Let f(x)= x^3+3x^2+6x+2sinx , then the equation 1/(x-f(1))+2/(x-f(2))+3/(x-f(3))=0 ,has

If f(x) =1/x , then show that lim_(hrarr0)(f(2+h)-f(2))/h=-1/4

Prove that lim_(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x)

If f(x)=x^9-6x^8-2x^7+12 x^6+x^4-7x^3+6x^2+x-3, find f(6)dot

Evaluate lim_(hto0) [(1)/((h)(8+h)^(1/3))-(1)/(2h)].

If f(x)=3x^2-5x+7 , then find f(x-1)

If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) and phi(x)=cos^(-1)((1-x^(2))/(1+x^(2))) , then the value of lim_(x to a) (f(x)-f(a))/(phi(x)-phi(a))(0 lt a lt (1)/(2)) is -

Let f(x+3)=x^2 -3x -1 .then find f(x+1)

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. Let f1(x)=e^x,f2(x)=e^(f1(x)),"........",f(n+1)(x)=e^(fn(x)) for all n...

    Text Solution

    |

  2. f(x)=|x| is increasing in

    Text Solution

    |

  3. Let f(x)=3x^(10)-7x^8+5x^6-21x^3+3x^2-7. Then lim(hto0)(f(1-h)-f(1))/(...

    Text Solution

    |

  4. Let f:[a,b]toR be such that f is differentiable in (a,b), f is continu...

    Text Solution

    |

  5. Let f:Rto R be a twice continuously differentiable function such that ...

    Text Solution

    |

  6. If inte^(sinx)[(xcos^3x-sinx)/(cos^2x)]dx=e^(sinx)*f(x)+c, where c is ...

    Text Solution

    |

  7. If intf(x)sinxcosxdx=(1)/(2(b^2-a^2))logf(x)+c, where c is the constan...

    Text Solution

    |

  8. If M=int0^((pi)/(2))(cosx)/(x+2)dx,N=int0^((pi)/(4))(sinxcosx)/((x+1)^...

    Text Solution

    |

  9. The value of the integral I=int((1)/(2014))^(2014)(tan^(-1)x)/(x)dx is

    Text Solution

    |

  10. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

    Text Solution

    |

  11. The value of I=int((pi)/(2))^((5pi)/(2))(e^(tan^(-1))(sinx))/(e^(tan^(...

    Text Solution

    |

  12. The value of lim(ntooo)(1)/(n)[sec^2""(pi)/(4n)+sec^2""(2pi)/(4n)+.......

    Text Solution

    |

  13. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  14. Let y(x) be a solution of (1+x^2)"" (dy)/(dx)+2xy-4x^2=0 and y(0)=-1. ...

    Text Solution

    |

  15. The law or motion of a body moving along a straight line is x=(1)/(2)...

    Text Solution

    |

  16. Number of common tangents of y=x^2" and " y=-x^2+4x-4 is

    Text Solution

    |

  17. If |{:(-1,7,0),(2,1,-3),(3,4,1):}|=A" then"|{:(13,-11,5),(-7,-1,25),(-...

    Text Solution

    |

  18. If ar=(cos2rpi+isin2rpi)^((1)/(9)), then the value of |{:(a1,a2,a3),(a...

    Text Solution

    |

  19. If Sr=|{:(2r,x,n(n+1)),(6r^2-1,y,n^2(2n+3)),(4r^3-2nr,z,n^3(n+1)):}|, ...

    Text Solution

    |

  20. If the following three linear equations have a non-trivial solution, t...

    Text Solution

    |