Home
Class 12
MATHS
f(x) be a polynomial such that f(x)+f'(x...

`f(x)` be a polynomial such that `f(x)+f'(x)+f''(x)=x^5+64` value of `lim_(x to1) (f(x))/(x-1)` is equal to

A

-15

B

15

C

60

D

-60

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

If f(x )=sqrt(25-x^(2)) , then what is lim_(x to 1) (f(x)-f(1))/(x-1) equal to

If f(x) is polynomial function such that f(x)+f'(x)+f(x)+f'(x)=x^(3) and g(x)=int(f(x))/(x^(3)) and g(1)=1 then g( e ) is

f(x)=e^x then lim_(x rarr 0) f(f(x))^(1/{f(x)} is

If f(x)=sqet(25-x^(2)) , then what is Lim_(x to 1) (f(x)-f(1))/(x-1) equal to?

If F(x)=sqrt(9-x^(2)) , then what is lim_(xto1) (F(x)-F(1))/(x-1) equal to?

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. 1/3,5/9,19/27,65/81 . . . "upto" 100 term , find the GIF of S100

    Text Solution

    |

  2. If g(0,oo) to R is a differentiable function int[(x.(cos-sinx))/(e^x+1...

    Text Solution

    |

  3. f(x) be a polynomial such that f(x)+f'(x)+f''(x)=x^5+64 value of lim(x...

    Text Solution

    |

  4. Z is a point on circle passing points P: (3+4i), Q:(4+3i) and R:(5i) ,...

    Text Solution

    |

  5. How many 3xx3 matrices possible with the elements {-1,0,1} such that...

    Text Solution

    |

  6. (x+1)dy/dx-y=e^(3x)(1+x)^2 , y(0)=1/3 then y((-4)/3) =

    Text Solution

    |

  7. Consider P1 :~(p to ~q) and P2:(p wedge ~q) wedge ((~p) vvq) If p to ...

    Text Solution

    |

  8. If y=y(x) be the solution of given equation y^2dx+(x^2-xy+y^2)dy=0 and...

    Text Solution

    |

  9. If abs(veca)=3 abs(vecb)=4 and theta lies between pi/3 le theta le pi/...

    Text Solution

    |

  10. If f(x)={(2(1-x/2))^25(2+x)^25}^(1/50) and g(x)=f(f(f(x)))+f(f(x)) the...

    Text Solution

    |

  11. If Q is the mirror image of P(-1,0,-1) with respect to plane x+y+z=5 a...

    Text Solution

    |

  12. Let A=[(0,-2),(2,0)] and M=sum(k=1)^10 A^(2k) , N=sum(k=1)^10 A^(2k-1)...

    Text Solution

    |

  13. Let E1 and E2 be two events such that P(E1/E2)=1/2 , P(E2/E1)=3/4, P(E...

    Text Solution

    |

  14. If the sum of first n terms of two A.P's are in the ratio 3n+8:7n+15 t...

    Text Solution

    |

  15. (.^25C0)^2+(.^25C1)^2+(.^25C2)^2+. . . +(.^25C25)^2=k then find the va...

    Text Solution

    |

  16. The value of tan^-1((cos((15pi)/4)-1)/sin(pi/4)) is equal to

    Text Solution

    |

  17. What will be the coefficient of x^101 in (5+x)^500+x(5+x)^499+x^2(5+x)...

    Text Solution

    |

  18. Find the sum of 1.3+2.3^2+3.3^3+ . . . + 10.3^9

    Text Solution

    |

  19. If there is a biased dice with number "2,4,8,16,32,32" and probability...

    Text Solution

    |

  20. 2 sin 12^@-sin 72^@=?

    Text Solution

    |