Home
Class 12
MATHS
If g(x)=(lim)(mvecoo)(x^mf(x)+h(x)+3)/(2...

If `g(x)=(lim)_(mvecoo)(x^mf(x)+h(x)+3)/(2x^m+4x+1)` when `x!=1a n dg(1)=e^3` such that `f(x),g(x)a n dh(x)` are continuous functions at `x=1` then the value of `5f(1)-2h(1)` is `7` b. `6` c. `9` d. `8`

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 g(x)=lim_(m rarr oo)(x^(m)f(x)+h(x)+3)/(2x^(m)+4x+1) when x!=1 and g(1)=e^(3) such that f(x),g(x) and h(x) are continuous functions at x=1 then the value of 5f(1)-2h(1) is 7 b.6 c.9 d.8

f(x)=(x^(n)-1)/(x-1),x!=1 and f(x)=n^(2),x=1 continuous at x=1 then the value of n

If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x) , then the value of g'(1) is

If the function _(x)f(x)=x^(3)+e^((x)/(2)) and g(x)=f^(-1)(x), then the value of g'(1) is

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(x) is

Q.if the function f(x)=x^(3)+(e^(x))/(2) and g(x)=f^(-1)(x), then find the value of g'(1)

If the function f(x)=4x^(5)+3x^(3)+2x^(2)+e^(x/7) and g(x)=f^(-1)(x) then the value of g'(1) is

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of ways in which 6 red roses and 3 white roses (all roses d...

    Text Solution

    |

  2. A set contains (2n+1) elements. If the number of subsets of this set w...

    Text Solution

    |

  3. If g(x)=(lim)(mvecoo)(x^mf(x)+h(x)+3)/(2x^m+4x+1) when x!=1a n dg(1)=e...

    Text Solution

    |

  4. A B C is a triangle where A=(2,3,5)B=(-1,2,2)a n dC(lambda,5mu) , if t...

    Text Solution

    |

  5. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  6. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

    Text Solution

    |

  7. If (alpha, beta) is a point of intersection of the lines xcostheta +y ...

    Text Solution

    |

  8. If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP...

    Text Solution

    |

  9. Let f: RvecR be a one-one onto differentiable function, such that f(2)...

    Text Solution

    |

  10. lim(n->oo)cos(pisqrt(n^2+n))=?(n in I) a. 1 b. -1 c. 0 d. Does not...

    Text Solution

    |

  11. If matrix A is given by A=[6 11 2 4] , then the determinant of A^(2...

    Text Solution

    |

  12. If the line y=mx+c touches the parabola y^(2)=4a(x+a), then

    Text Solution

    |

  13. A relation on set ={1,2,3,4,5} is defined as R="{"a-b"|" is prime numb...

    Text Solution

    |

  14. Let U={xcN,xle10},A={x inN,1lex^(3)lt150}and B={x inN, x is prime numb...

    Text Solution

    |

  15. Sum of squares of deviation of 10 observations measured from 5 is 17 a...

    Text Solution

    |

  16. If alpha,beta in R and the quadratic equations x^2+2x+7=0a n d4x^2+al...

    Text Solution

    |

  17. Let A and B be two square matrices satisfying A+BA^(T)=I and B+AB^(T)=...

    Text Solution

    |

  18. The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is

    Text Solution

    |

  19. If the point P(4, -2) is the one end of the focal chord PQ of the para...

    Text Solution

    |

  20. Let f(x)=(sin {pi[x-pi]})/(1-[x^(2)]), where [.] stands for the greate...

    Text Solution

    |