Home
Class 12
MATHS
If f(4)=g(4)=f^(prime)(4)=9,g^(prime)(4)...

If `f(4)=g(4)=f^(prime)(4)=9,g^(prime)(4)=6,` then `(lim)_(xvec4)(sqrt(f(x))-sqrt(g(x)))/(sqrt(x)-2)` is equal to `3sqrt(2)` b. `3/(sqrt(2))` c. `0` d. does not exists

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(4)=g(4)=2;f'(4)=9;g'(4)=6 then lim_(x rarr4)(sqrt(f(x))-sqrt(g(x)))/(sqrt(x)-2) is equal to

IF f(4)=g(4)=2;f'(4)=9;g'(4)=6 then lim_(x rarr4)(sqrt(f(x))-sqrt(g(x)))/(sqrt(x)-2)

lim_(x rarr3)(sqrt(3x)-3)/(sqrt(2x-4)-sqrt(2)) is equal to

If f(4)=4,f'(4)=1, then lim_(x in4) (2-sqrt(f(x)))/(2-sqrt(x)) is equal to

If f(9)=9,f'(9)=4,then(lim)_(x rarr9)(sqrt(f(x))-3)/(sqrt(x)-3)=

f(x)=sqrt(x-4-2sqrt(x-5))

lim_(x rarr4)(3x-8sqrt(x+4))/(5x-9sqrt(x)-2)

If f(x)=(x-4)/(2sqrt(x)), then f'(4) is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. The total number of words that can be made by writing the letters of t...

    Text Solution

    |

  2. Consider the statement p ; New Delhi is a city. Which of the followin...

    Text Solution

    |

  3. If f(4)=g(4)=f^(prime)(4)=9,g^(prime)(4)=6, then (lim)(xvec4)(sqrt(f(...

    Text Solution

    |

  4. There are fifty persons among whom 2 are brothers. The number of ways ...

    Text Solution

    |

  5. There are 9 wooden pieces each carved in the shape of a letter so that...

    Text Solution

    |

  6. The value of (lim)(xvecoo)[tan^(-1)(x+1)/(x+2)-dotpi/4],w h e r e[x] d...

    Text Solution

    |

  7. In how many ways can 8 different books be distributed among 3 students...

    Text Solution

    |

  8. Suppose A and B shoot independently until each hits his target. They h...

    Text Solution

    |

  9. int0^2["x"^2]"dx" is equal to 2-sqrt(2) b. 2+sqrt(2) c. sqrt(2)-1 d. -...

    Text Solution

    |

  10. Number of words each consisting of two vowels and two consonants which...

    Text Solution

    |

  11. The contrapositive of the statement ''If two triangles are identical, ...

    Text Solution

    |

  12. If R denotes circumradius, then in DeltaABC,(b^2-c^2)/(2aR) is equal t...

    Text Solution

    |

  13. Write the negation of the compound propostion . "If the examination is...

    Text Solution

    |

  14. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

    Text Solution

    |

  15. Let x1,x2 be the roots of the equation x^2-3x+A=0 and x3,x4 be those o...

    Text Solution

    |

  16. If 25C0 25C2 +2. 25C1 25C3 +3. 25C2 .25C4+....+ 24. 25C23.25C25=k. 4...

    Text Solution

    |

  17. int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((log)e x^(sqrt(x)))^2)dx=

    Text Solution

    |

  18. If nine arithmetic means and nine harmonic means are inserted between ...

    Text Solution

    |

  19. Let ABC be an isosceles triangle with base BC whose length is 'a'. If ...

    Text Solution

    |

  20. int1/(1+sqrt(x))"dx" is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b. 2sqrt(x...

    Text Solution

    |