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lim(x rarr 0) [int(y)^(a) e^(sin^(2)t) d...

`lim_(x rarr 0) [int_(y)^(a) e^(sin^(2)t) dt - int_(x + y)^(a) e^(sin^(2)t) dt] div x` is equal to :

A

`e^(sin^(2)y)`

B

`sin 2y e^(sin^(2)y)`

C

0

D

None of these

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Verified by Experts

The correct Answer is:
A
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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
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  14. lim(x rarr pi//3) (2 sin (x-pi//3))/(1-2 cos x) equals :

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  18. Let f(x) = 3x^(10) - 7x^(8) + 5x^(6) - 21x^(3) + 3x^(2) - 7. Then lim(...

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  19. Let f(x) = lt x gt^("*"), where lt x gt^("*") is the distance from x t...

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  20. lim(x rarr 2^(+)) (([x]^(3))/(3) - [(x)/(3)]^(3)) equals :

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