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lim(x to 0) (x^(4) + x^(2) - 2x + 1) is ...

`lim_(x to 0) (x^(4) + x^(2) - 2x + 1)` is eqal to

A

0

B

1

C

2

D

`-1`

Text Solution

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The correct Answer is:
B
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Knowledge Check

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

    A
    30
    B
    32
    C
    35
    D
    34

  • lim_(x to 0) (sqrt(1 + x + x^(2)) - sqrt(x + 1))/(2X^(2)) is equal to

    A
    `(1)/(6)`
    B
    `(1)/(4)`
    C
    `(3)/(2)`
    D
    `(9)/(2)`

  • lim_(x to 0) ("sin"2X)/(2 - sqrt(4 - x)) is

    A
    2
    B
    4
    C
    8
    D
    0
    • AAKASH INSTITUTE-LIMITS AND DERIVATIVES -SECTION - A
    1. lim(x to 0) (x^(4) + x^(2) - 2x + 1) is eqal to

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    2. If the function f (x) = {{:(3,x lt 0),(12, x gt 0):} then lim(x to 0) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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