Home
Class 12
MATHS
If f(9)=9,f^(prime)(9)=4,t h e n("lim")(...

If `f(9)=9,f^(prime)(9)=4,t h e n("lim")_(nvecoo)(sqrt(f(x)-3))/(sqrt(x-3))=` ___________.

A

4

B

0

C

c

D

9

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|96 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

If f(9)=9,f^(prime)(9)=4,t h e n("lim")_(x->9)(sqrtf(x)-3)/(sqrtx-3)= ___________.

If f(1)=1,f^(prime)(1)=2, then write the value of lim_(x->1)(sqrt(f(x))-1)/(sqrt(x)-1)

If f(4)=g(4)=2 , f^(prime)(4)=9,g^(prime)(4)=6, then (lim)_(xto4)(sqrt(f(x))-sqrt(g(x)))/(sqrt(x)-2) is equal to (a) 3sqrt(2) b. 3/(sqrt(2)) c. 0 d. does not exists

If f(9)=9" and f'"(9)=4 then Lt_(x to 9)(sqrt(f(x))-3)/(sqrt(x)-3) is equal to

If f be a function such that f(9)=9 and f'(9)=3 , then lim_(xto9)(sqrt(f(x))-3)/(sqrt(x)-3) is equal to

If f^(prime)(a)=1/4, t h e n(lim)_(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3-h^2)-f(a-h^3+h^2))= 0 b. 1 c. -2 d. none of these

If f(x)=sqrt(x^2+9) , write the value of (lim)_(x->4)(f(x)-f(4))/(x-4) .

Let f: RvecR be such that f(a)=1,f^(prime)(a)=2. Then (lim)_(xvec0)((f^2(a+x))/(f(a)))^(1//x) is a. e^2 b. e^4 c. e^(-4) d. 1//e

Let f: Rvec[3,5] be a differentiable function such that (lim)_(xvecoo)f(x)+f^(prime)(x)=3,t h e n(lim)_(xvecoo)f(x) (a) can be obtained and is equal to 4 (b) can be obtained and is equal to 3 (c) can be obtained and is equal to 5 (d) none of these

If y=f(x) is an odd differentiable function defined on (-oo,oo) such that f^(prime)(3)=-2,t h e n|f^(prime)(-3)| equals_________.

OBJECTIVE RD SHARMA ENGLISH-LIMITS-Chapter Test
  1. Let < an > be a sequence such that lim(x->oo)an=0. Then lim(n->oo)(a1...

    Text Solution

    |

  2. If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of ("l...

    Text Solution

    |

  3. If f(9)=9,f^(prime)(9)=4,t h e n("lim")(nvecoo)(sqrt(f(x)-3))/(sqrt(x-...

    Text Solution

    |

  4. A(i)=(x-a(i))/(|x-a(i)|),i=1,2,...,n," and "a(1)lta(2)lta(3)lt...lta(n...

    Text Solution

    |

  5. lim(x -> oo) x^n / e^x = 0, (n is an integer) for

    Text Solution

    |

  6. lim(xrarr0) (x)/(tan^-1x) is equal to

    Text Solution

    |

  7. If f(x) =x , x<0 and f(x)=1 , x = 0, and f(x)=x^2,x>0 then lim(x->0) ...

    Text Solution

    |

  8. Evaluate the following limits : Lim(x to oo) sqrt(((x+sin x)/(x- cos...

    Text Solution

    |

  9. Evaluate: ("lim")(xvecoo)(1+1/(a+b x))^(c+dx),w h e r ea , b , c ,a n ...

    Text Solution

    |

  10. If f'(2)=2, f''(2) =1, then lim(xrarr2)(2x^2-4f'(x))/(x-2), is

    Text Solution

    |

  11. lim(xrarr0) (e^(tanx)-e^x)/(tanx-x)=

    Text Solution

    |

  12. The value of lim(xrarr2^-) {x+(x-[x])^2}, is

    Text Solution

    |

  13. lim(xto0) ((e^x+e^-x-2)/(x^2))^(1//x^2) is equal to

    Text Solution

    |

  14. The value of lim(x->oo)(pi/2-tan^(- 1)x)^(1/x^2), is

    Text Solution

    |

  15. The value of lim(x->a) (sinx/sina)^(1/(x-a))=

    Text Solution

    |

  16. Evaluate the following limit: (lim)(x->oo)((x^2+2x+3)/(2x^2+x+5))^((3x...

    Text Solution

    |

  17. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

    Text Solution

    |

  18. The value of lim(xrarr0) ((sinx)/(x))^((sinx)/(x-sinx)), is

    Text Solution

    |

  19. lim(x->1)[(x^3+2x^2+x+1)/(x^2+2x+3)]^((1-cos(x-1))/(x-1)^2)

    Text Solution

    |

  20. The value of lim(xrarr0) (sinx)/(xqrt(x^2)), is

    Text Solution

    |