\[\underset{x\to 0}{\mathop{\lim }}\,\frac{\tan x-\sin x}{{{x}^{3}}}=\] [IIT 1974; AI CBSE 1986, 90; AISSE 1983, 86, 90; RPET 2000]

\[\underset{x\to 0}{\mathop{\lim }}\,\frac{\tan x-\sin x}{{{x}^{3}}}=\

1.	\[\underset{x\to 0}{\mathop{\lim }}\,\frac{\tan x-\sin x}{{{x}^{3}}}=\] [IIT 1974; AI CBSE 1986, 90; AISSE 1983, 86, 90; RPET 2000]
A.	\[\frac{1}{2}\]
B.	\[-\frac{1}{2}\]
C.	\[\frac{2}{3}\]
D.	None of these
Answer» B. \[-\frac{1}{2}\]

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\[\underset{x\to 0}{\mathop{\lim }}\,\frac{\tan x-\sin x}{{{x}^{3}}}=\] [IIT 1974; AI CBSE 1986, 90; AISSE 1983, 86, 90; RPET 2000]

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