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

`lim_(x to 0) ((1 + x)^(5) -1)/((1 + x)^(3) - 1)` is equal to

A

6

B

`(9)/(4)`

C

`(5)/(3)`

D

`(3)/(5)`

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

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

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

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

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

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

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

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

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

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

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  17. The derivative of f(x) = x^(2) at x = 1 is

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  18. The derivative of f (x) = x^(2) + 2x at x = 2 is

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  19. The derivative of f(x) = "sin" 2x is

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  20. The derivative of f(x) = (sqrt(x) + (1)/(sqrt(x)))^(2) is

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