Home
Class 12
MATHS
If f (x) =((x^(2)+5x+3^(x))/(x^(2)+x+2))...

If f (x) `=((x^(2)+5x+3^(x))/(x^(2)+x+2))` then `underset(x rarroo)limf(x)` is equal to

A

`e^(4)`

B

`e^(3)`

C

`e^(2)`

D

`2^(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 7

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MODEL TEST PAPER 02

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If f(x)= |{:(x,x^(2),x^(3)),(1,2,3),(0,1,x):}| underset(x to1)limf(x) is equal to

If f(x) = (2)/(x-3), g(x) = (x-3)/(x+4) and h (x) = (-2(2x + 1))/(x^(2) + x - 12) , then lim_(x rarr 3) [f(x) + g(x) + h(x)] is equal to :

If f(x) = (x^(2)-x)/(x^(2)+2x) , then d/dx [f^(-1)(x)] =

If f(x)=(x^(2)-4)/(xsqrtx-2sqrt2)," find " underset(x to 2)lim f(x) and see whether it equals f(2).

If f(x)= (2 x+1)/(3 x-2) , then f o f(2) is equal to

If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)) , then f(g(x)) is equal to :

If f(x)=(3x+2)/(5x-3),x inR-{(3)/(5)} , then :

If f '(x) = cos (log x) and y = f((2x-3)/(2x+5)) then dy/dx =

Let f(x)=x^(3)+(3)/(2) x^(2)+3x+3 , then f(x) is :

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER - 8-MATHEMATICS
  1. Let a = hat I + hatj +hatk, vec b = hati-hatj+hatk and c be a unit vec...

    Text Solution

    |

  2. The value of underset(x rarr0)limsqrt((1)/(2)(1-cos2x))/(x) is

    Text Solution

    |

  3. If f (x) =((x^(2)+5x+3^(x))/(x^(2)+x+2)) then underset(x rarroo)limf(x...

    Text Solution

    |

  4. If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))),then (dy)/(dx) is

    Text Solution

    |

  5. The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2...

    Text Solution

    |

  6. The abscissa of the point on the curve ay^(2)=x^(3), the normal at whi...

    Text Solution

    |

  7. If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2,...

    Text Solution

    |

  8. int (1)/((1+x^(2))sqrt(1-x^(2)))dx is equal to

    Text Solution

    |

  9. int(sqrt(tanx))/(sin x cos x)dx is equal to

    Text Solution

    |

  10. The value of the integral underset(0)overset(1)int(1)/(x^(2)+2x cos al...

    Text Solution

    |

  11. The order and degree of the differential equation rho=[1+((dy)/(dx))^(...

    Text Solution

    |

  12. The equation of a curve passing through (2, 7//2) and having gradient ...

    Text Solution

    |

  13. In the group G = {2, 4, 6, 8} under multiplication modulo 10, the iden...

    Text Solution

    |

  14. If a, b are positive integers, define a^(**)b = alpha where ab -= alph...

    Text Solution

    |

  15. Z is the set of integers, (Z, **) is a group with a ** b = 1 + b + 1, ...

    Text Solution

    |

  16. Let G denote the set of all n xx n non-singular matrices with rational...

    Text Solution

    |

  17. In the group G = { 1, 2, 3, 4, 5 } under addition modulo 6, (3 + 5^(-1...

    Text Solution

    |

  18. If (G, ^(**)) is a group such that a ^(**)b=b^**a for two element a an...

    Text Solution

    |

  19. The value of theta (0 lt theta lt 360^(@)) satisfying cosec theta + 2 ...

    Text Solution

    |

  20. If sin A = sin B, cos A = cos B, then the value of A in terms of B is

    Text Solution

    |