If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{[(a-n)\,nx-\tan x]\sin nx}{{{x}^{2}}}=0,\] where n is non zero real number, then a is equal to [IIT Screening 2003]

If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{[(a-n)\,nx-\tan x]\sin n

1.	If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{[(a-n)\,nx-\tan x]\sin nx}{{{x}^{2}}}=0,\] where n is non zero real number, then a is equal to [IIT Screening 2003]
A.	0
B.	\[\frac{n+1}{n}\]
C.	n
D.	\[n+\frac{1}{n}\]
Answer» E.

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