JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{n \rightarrow \infty}} \frac{n \cdot 3^n}{n(x-2)^n+n \cdot 3^{n+1}-3^n}=\frac{1}{3}

, where

n \in N

, then the number of integer (s) in the range of

x

, is

View answer and explanation

Correct option: C

Option C (5) is correct because the limit condition leads to an inequality for x, resulting in 5 integer values within the range.

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