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 the value of `lim_(h->0) (f(1-h)-f(1))/(h^3+3h)`

A

`50//3`

B

`22//3`

C

`13`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(h to 0) (f(x+h)+f(x-h))/h is equal to

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

If f'(3)=2 , then lim_(h->0)(f(3+h^2)-f(3-h^2))/(2h^2) is

Let f (x) =3x ^(10) -7x ^(8) +5x^(6) -21 x ^(3) +3x ^(2) -7 265 (lim _(htoo) (h ^(4) +3h^(2))/((f(1-h) -f (1))sin5h))=

If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 then the value of lim_(xrarr0) (x^(2))/({f(x^(2))-5f(4x^(2))+4f(7x^(2))}) is

If f(x) is derivable at x=3 and f'(3)=2 , then value of lim_(hto0)(f(3+h^(2))-f(3-h^(2)))/(2h^(2)) is less than

If f (x) =2x ^(2) -5x +7, what is the value of f (8) -f (3) ?

If f(x) is derivable at x=5, f'(5)=4 , then evaluate lim_(hto0)(f(5+h^(3))-f(5-h^(3)))/(2h^(3)

If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n d\ h(x)=2x^2-3, then find the values of (2fg+g-h)(1)\ a n d\ (2f+g-h)(1)dot

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

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. lim(xto0)(((1+x)^(1//x))/e)^(1/(sinx)) is equal to

    Text Solution

    |

  2. lim(x->-oo)(x^5tan(1/(pix^2))+3|x^2|+7)/(|x^3|+7|x|+8) is equal to: a....

    Text Solution

    |

  3. Let f(x)=3x^10-7x^8+5x^6-21x^3+3x^2-7 , then the value of lim(h->0)...

    Text Solution

    |

  4. lim(x->a){[(a^(1/2)+x^(1/2))/(a^(1/4)-x^(1/4)))^(- 1)-(2(a x)^(1/4))/(...

    Text Solution

    |

  5. lim(xto1) (sum(r=1)^(n)x^(r)-n)/(x-1) is equal to

    Text Solution

    |

  6. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  7. If a(1)=1 and a(n+1)=(4+3a(n))/(3+2a(n)),nge1, show that a(n+2)gea(n+1...

    Text Solution

    |

  8. The value of lim(xto oo)(2x^(1//2)+3x^(1//3)+4x^(1//4)+....nx^(1//n)...

    Text Solution

    |

  9. if |x| <1 then (L t)(n->oo)(1+x)(1+x^2)(1+x^4)........(1+x^(2n))=

    Text Solution

    |

  10. Let a=min{x^(2)+2x+3,x epsilonR} and b=lim(x theta to 0)(1-cos theta)/...

    Text Solution

    |

  11. underset(xto0)lim(log(1+x+x^(2))+log(1-x+x^(2)))/(secx-cosx)=

    Text Solution

    |

  12. The value of lim(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the ...

    Text Solution

    |

  13. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  14. If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):} where [x] den...

    Text Solution

    |

  15. The value of ("lim")(nvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  16. lim(x->oo)((1^(1/x) +2^(1/x) +3^(1/x) +...+n^(1/x))/n)^(nx) is equal t...

    Text Solution

    |

  17. lim(n->oo) (1.2+2.3+3.4+....+n(n+1))/n^3

    Text Solution

    |

  18. lim(xto0)(x(z^(2)-(z-x)^(2))^(1//3))/([(8 x z -4x^(2))^(1//3)+(8x z)^(...

    Text Solution

    |

  19. Let Pn=((1+x)(1-x^2)(1+x^3)(1-x^4))/({(1+x)(1-x^2)(1+x^3)(1-x^4)(1-x^...

    Text Solution

    |

  20. lim(x rarr -oo)(1-2+3-4+5-6...-2x)/(sqrt(x^2+1)+sqrt(4x^2-1))

    Text Solution

    |