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underset(x to 3)(lim) (x^(2) - 27)/(x^(2...

`underset(x to 3)(lim) (x^(2) - 27)/(x^(2) - 9)` is equal to

A

`(3)/(2)`

B

`(9)/(2)`

C

0

D

3

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -SECTION - A
  1. lim(x to 0) (sqrt(1 + 3x) + sqrt(1 - 3x))/(1 + 3x) is equal to

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Evaluate underset(x to 3)(lim) (x^(3) - 7x^(2) + 15x - 9)/(x^(4) - 5x^...

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

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

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

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

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

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  20. Evaluate the following limits : Lim(x to 2) (x-2)/(sqrt(x)-sqrt(2))

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