Home
Class 12
MATHS
If f(4)=g(4)=2 , f^(prime)(4)=9,g^(prime...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

lim_(xto2)(x^2-4)/(sqrt(x+2)-sqrt(3x-2))

lim_(xrarr0) (sqrt(x+1)+sqrt(x+4)-3)/(sqrt(x+2)-sqrt2)

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

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

lim_(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (b) 1/2 (c) log 2 (d) e^4

The value of lim_(xto2a)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(sqrt(x^2-4a^2)) is

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

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

If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) is equal to- (a) log"(sqrt(2)+1) (b) 1 (c) 1+sqrt(2) (d) none of these

RESONANCE DPP ENGLISH-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)=2 , f^(prime)(4)=9,g^(prime)(4)=6, then (lim)(xto4)(sqrt(...

    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^sqrt(2)["x"^2]"dx" is equal to a.2-sqrt(2) b. 2+sqrt(2) c. sqrt(2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If R denotes circum-radius of Delta ABC, evaluate (b^(2)-c^(2))/(2aR)...

    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 x(1) and x(2) be the roots of the eqiation x^(2)-3x+A=0 and let x(...

    Text Solution

    |

  16. int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((log)e x^(sqrt(x)))^2)dx= "ln"...

    Text Solution

    |

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

    Text Solution

    |

  18. Let ABC be an isosceles triangle with base BC. If r is the radius of t...

    Text Solution

    |

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

    Text Solution

    |

  20. Number of natural numbers between 100 & 1000 such that at least one of...

    Text Solution

    |