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lim(x rarr 0) (tan x - sin x)/(x^(3)) =...

`lim_(x rarr 0) (tan x - sin x)/(x^(3)) = `

A

(1/2)

B

(-1/2)

C

0

D

1

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  7. If G(x) = -sqrt(25-x^(2)) the lim(x rarr 1) (G(x)-G(1))/(x-1) =

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  8. lim(n rarr oo) ((1)/(1-n^(2)) + (2)/(1-n^(2)) +…...+(n)/(1-n^(2))) is ...

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  10. lim(x rarr oo) x^(n)/e^(x) = 0 (n is an integer) for

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  12. lim(x rarr 0) {tan (pi/4+x)}^(1/x) =

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  14. lim(x rarr 1) (sqrt(1 - cos 2 (x - 1)))/(x -1) :

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  15. lim(x rarr 0) (sin (pi cos^(2)x))/(x^(2)) is equal to :

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  20. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

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