If (lim)x→0x2{(a−n)nx−tanx}sinnx=0, where n is nonzero real number, the a is 0 (b) nn+1 (c) n (d) n+n1

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If {({lim})}_{{{x}{0}}}{{{{({a}-{n})}{n}{x}-{{{x}}}}{{{n}}}{x}

Question

If $(lim)_{x \to 0} \frac{{ ( a - n ) n x - tan x } sin n x}{x ^{2}} = 0,$ where $n$ is nonzero real number, the $a$ is 0 (b) $\frac{n + 1}{n}$ (c) $n$ (d) $n + \frac{1}{n}$

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Michael Discussed

(lim)_{x \to 0} \frac{{ ( a - n ) n x - tan x } sin n x}{x ^{2}} = 0,

where

n

is nonzero real number, the

a

is 0 (b)

\frac{n + 1}{n}

(c)

n

(d)

n + \frac{1}{n}

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Question Text

(lim)_{x \to 0} \frac{{ ( a - n ) n x - tan x } sin n x}{x ^{2}} = 0,

where

n

is nonzero real number, the

a

is 0 (b)

\frac{n + 1}{n}

(c)

n

(d)

n + \frac{1}{n}