Home
Class 12
MATHS
lim(x to 2) (x^(2) - 4)/(x + 3) is equa...

`lim_(x to 2) (x^(2) - 4)/(x + 3)` is equal to

A

0

B

1

C

`(1)/(5)`

D

`(8)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - B|34 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - C|6 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Try yourself|64 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

If f (x) = x^(4) + 2x^(3) , them lim_(x to 2) (f(x) - f(2))/(x - 2) is equal to

lim_(x to 3) (x^(2) - 27)/(x^(2) - 9) is equal to

lim_(x to 4) (x^(2) - 16)/(sqrt(x) - 2) is equal to

lim_(x to 0) (sin^(2) x//4)/(x) is equal to

lim_(x to 0) (log (1 + 2x))/(x) + lim_(x to 0) (x^(4) - 2^(4))/(x - 2) equals

What is lim_(x to 2) (2-x)/(x^(3)-8) equal to ?

The value of lim_(xrarr0)(log(1+2x))/(5x)+lim_(xrarr2)(x^(4)-2^(4))/(x-2) is equal to

lim_(xtooo) (1-cos^(3)4x)/(x^(2)) is equal to

lim_(x rarr2^(+))((2{x}-4)/([x]-3)) is equal to,where {.} and [.] represents fractional part of x and greatest integer function

What is lim_(x to -1) (x^3 + x^2)/(x^2 + 3x + 2) equal to ?

AAKASH INSTITUTE-LIMITS AND DERIVATIVES -SECTION - A
  1. If the function f (x) = {{:(3,x lt 0),(12, x gt 0):} then lim(x to 0) ...

    Text Solution

    |

  2. lim(x to 3) (3x + 5) is equal to

    Text Solution

    |

  3. lim(x to 2) (x^(2) - 4)/(x + 3) is equal to

    Text Solution

    |

  4. If F (x) = {{:(-x^(2) + 1, x lt 0),(0,x = 0),(x^(2) + 1,x gt = 0):}, ....

    Text Solution

    |

  5. lim(x to 0) (sqrt(1 + 3x) + sqrt(1 - 3x))/(1 + 3x) is equal to

    Text Solution

    |

  6. lim(x to 1) (x^(2) + x - 2)/(x^(2) - 1) is equal to

    Text Solution

    |

  7. lim(x to 3) (x^(2) - 27)/(x^(2) - 9) is equal to

    Text Solution

    |

  8. lim(x to 1//2) (8x^(3) - 1)/(16 x^(4) - 1) is equal to

    Text Solution

    |

  9. lim(x to 2) (x^(7) - 128)/(x - 2) is equal to

    Text Solution

    |

  10. lim(x to 0) (sin 3x)/(x) is equal to

    Text Solution

    |

  11. lim(x -0) (1 - cos 4x)/(x^(2)) is equal to

    Text Solution

    |

  12. lim(x to 0) ((1 + x)^(5) -1)/((1 + x)^(3) - 1) is equal to

    Text Solution

    |

  13. lim(x to 0) (K sin x)/(lx + mx cos x) is equal to

    Text Solution

    |

  14. lim(x to 0) (sqrt(1 + x + x^(2)) - sqrt(x + 1))/(2X^(2)) is equal to

    Text Solution

    |

  15. lim(x to 0) (sin^(2) x//4)/(x) is equal to

    Text Solution

    |

  16. lim(x to 0) (2 sin x - sin 2x)/(x^(3)) ie equal to

    Text Solution

    |

  17. underset(x to 0) (sqrt(a +x) - sqrt(a))/(x sqrt(a^(2) + ax)) is equal ...

    Text Solution

    |

  18. lim(x to 3) (x^(3) - x^(2) + 15 x - 9)/(x^(4) - 5x^(3) + 27x - 27) ...

    Text Solution

    |

  19. If f (x) = x^(4) + 2x^(3), them lim(x to 2) (f(x) - f(2))/(x - 2) is ...

    Text Solution

    |

  20. underset(x to sqrt(2))(It) (x^(2) - 2)/(x^(2) + sqrt(2)x - 4) is equal...

    Text Solution

    |