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

`lim_(x to 1//2) (8x^(3) - 1)/(16 x^(4) - 1)` is equal to

A

`(1)/(2)`

B

`(3)/(2)`

C

`(3)/(4)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-LIMITS AND DERIVATIVES -SECTION - A
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  2. lim(x to 3) (x^(2) - 27)/(x^(2) - 9) is equal to

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

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

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

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

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

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

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

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

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

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

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  16. lim(x to 27) (x^(1//3) + 3) (X^(1//3) - 3))/(x - 27) is equal to

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  17. lim(x to 2) (x^(3) + x^(2) + 4x + 12)/(x^(3) - 3x + 2) is equal to

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  18. lim(x to 4) (x^(2) - 16)/(sqrt(x) - 2) is equal to

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  19. lim(x to 2) (x - 2)/(sqrt(x) - sqrt(2)) is equal to

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  20. lim(x to 0) (x)/(tan x) is equal to

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