If \( f(x)=(x+1)^{\cot x} \) be continuous at \( x=0 \), then \( f(...

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If \( f(x)=(x+1)^{\cot x} \) be continuous at \( x=0 \), then \( f(0) \) is equal to
(a) 0
(b) \( 1 / e \)
(c) \( e \)
(d) none of these
\( \mathrm{P} \)
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