Home
Class 12
MATHS
f'(3) +f'(2) = 0 Find the lim(x rarr 0)...

`f'(3) +f'(2) = 0` Find the `lim_(x rarr 0) ((1+f(3+x)-f(3))/(1+f(2-x)-f(2)))^((1)/(x))`

A

`e^(1)`

B

`e^(2)`

C

1

D

`e^(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

Similar Questions

Explore conceptually related problems

Let f : R to R be a differentiable function satisfying f'(3) + f'(2) = 0 , Then lim_(x to 0) ((1+f(3+x)-f(3))/(1+f(2-x)-f(2)))^(1/x) is equal to

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

If f'(x)=f(x) and f(0)=1 then lim_(x rarr0)(f(x)-1)/(x)=

If f'(2)=4 then,evaluate lim_(x rarr0)(f(1+cos x)-f(2))/(tan^(2)x)

If f(1)=3 and f'(1)=6 , then lim_(x rarr0)(sqrt(1-x)))/(f(1))

If f'(2)=6 and f'(1)=4 ,then lim_(x rarr0)(f(x^(2)+2x+2)-f(2))/(f(1+x-x^(2))-f(1)) is equal to ?

If f'(0)=3 then lim_(x rarr0)(x^(2))/(f(x^(2))-6f(4x^(2))+5f(7x^(2))=)

Let R rarr R be such that f(1)=3 and *f'(1)=6. then lim_(x rarr0)((f(1+x))/(f(1))) equal : (1)1(2)e^((1)/(2))(3)e^(2) (4) e^(3)

If f'(x)=k,k!=0, then the value of lim_(x rarr0)(2f(x)-3f(2x)+f(4x))/(x^(2)) is

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. f'(3) +f'(2) = 0 Find the lim(x rarr 0) ((1+f(3+x)-f(3))/(1+f(2-x)-f(...

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |