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If \( \lim _{x \rightarrow 0} \frac{\sin ^{-1} x-\tan ^{-1} x}{3 x^{3}} \) is equal to \( l \), then the value of \( (6 …

Q1

If \( \lim _{x \rightarrow 0} \frac{\sin ^{-1} x-\tan ^{-1} x}{3 x^{3}} \) is equal to \( l \), then the value of \( (6 l+1) \) is

[JEE Main 2021, 18 Mar (Shift 1)]

a

\( \frac{1}{6} \)

b

\( \frac{1}{2} \)

c

6

d

2

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