Home
Class 12
MATHS
If f is a real function such that f(4) =...

If f is a real function such that f(4) = 4 and `f'(4) = 16, " then " underset(x rarr 4)(lim) (sqrt(f(x))-2)/(sqrtx-2)=`

A

16

B

12

C

8

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|77 Videos
  • ONLINE QUESTION PAPER 2018

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|318 Videos

Similar Questions

Explore conceptually related problems

If f : RrarrR is such that f(3)=16,f'(3)=4, then underset(x rarr 3) lim(xf(3)-3f(x))/(x-3)=

underset(x rarr 0)(lim) (cos 4x - 4 cos 2x + 3)/(x^(4)) =

If f(x)= sqrt(9-x^2)" then " underset(x to 2)"Lt" (f(x)-f(2))/(x-2)" is "

Let f : R to R be a differentiable function such that f(2) = -40 ,f^1(2) =- 5 then lim_(x to 0)((f(2 - x^2))/(f(2)))^(4/(x^2)) is equal to

If f(x)=-sqrt(25-x^(2))", then " underset(x to 1)"Lt" (f(x)-f(1))/(x-1)=

If f (x +y) = 2 f (x) .f(y) such that f '(0) 3 and (4) = 2 find d'(4).

If f(x) is an odd periodic function with period 2, then f(4)=

let f: R to R be a function such that f(2-x)= f(2+x) and f(4-x)=f(4+x) , for all x in R and int_(0)^(2)f(x)dx=5 . Then the value of int_(10)^(50) f(x) dx is

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER -Mathematics
  1. Let pi(1) be the plane passing through the points (0,1,2), (1,0,-2), (...

    Text Solution

    |

  2. underset(x rarr 0)(lim) (cos 4x - 4 cos 2x + 3)/(x^(4)) =

    Text Solution

    |

  3. If alpha = underset(x rarr 0)Lt (x.2^(x) -x)/(1 - cos x) and beta = un...

    Text Solution

    |

  4. If f(x) = (2)/(4 + 3|x|), x in R, then f(0) =

    Text Solution

    |

  5. If f is a real function such that f(4) = 4 and f'(4) = 16, " then " un...

    Text Solution

    |

  6. If y= (sin^(-1) 2x)^(2) + (cos^(-1) 2x)^(2), then (1-4x^(2))y(2) - 4xy...

    Text Solution

    |

  7. Let f(x) = x^(3) + 2x^(2) -x be a real valued function. Then, the valu...

    Text Solution

    |

  8. int Tan^(-1)((2x)/(1-x^(2)))dx=

    Text Solution

    |

  9. The angle between the curves y= sin 2x and y = cos 2x is

    Text Solution

    |

  10. The ratio between the length of substangent at any point other than or...

    Text Solution

    |

  11. int(dx)/(sqrt((x-1)(x-2)))

    Text Solution

    |

  12. If int (x^(4) + 1)/(x^(6) + 1) dx = A tan^(-1) x + B tan^(-1) x^(3) + ...

    Text Solution

    |

  13. If int x(1 + x) log (1 + x^(2)) dx = F(x) log (1 + x^(2))-(2)/(3) ta...

    Text Solution

    |

  14. If I(n) = int cos^(n) x dx, then 6I(6) -5I(4) =

    Text Solution

    |

  15. If f(x) = (|log x|)/(x^(2)), " then " int(1//e)^(e ) f(x) = dx=

    Text Solution

    |

  16. The area enclosed by the curves y= 8x -x^(2) and 8x -4y +11 =0 is

    Text Solution

    |

  17. If I = int(0)^(pi//2) (dx)/(5 + 3 sin x) = lamda tan^(-1) ((1)/(2)), t...

    Text Solution

    |

  18. The general solution of the differential equation ((1)/(x^(2)) + x) (d...

    Text Solution

    |

  19. A family of curves whose equation is general solution of a differentia...

    Text Solution

    |

  20. The general solution of the differential equation (dy)/(dx) = (1)/(x +...

    Text Solution

    |