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

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

A

0

B

1

C

2

D

`-1`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE-LIMITS AND DERIVATIVES -SECTION - A
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  3. lim(x to 0) (sin^(2) x//4)/(x) is equal to

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If Y = (1 + tan x)/(1 - tan x), then (dy)/(dx) is

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  19. The derivative of f(x) = x^(-3) (3 + 7.x) is

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  20. The derivative of f(x) = (3 x + 2 "sin" x)/(x + 5 cos x) is

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