JEE MATHEMATICS MCQ: LIMITS

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\lim \limits_{{n \rightarrow \infty}} \frac{1+2-3+4+5-6+\cdots(3 n-2)+(3 n-1)-3 n}{\sqrt{2 n^{4}+3 n+1}-\sqrt{n^{4}+n+3}}

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Correct option: A

\frac{3}{2}(\sqrt{2}+1)

Option A (

\frac{{3}}{{2}}

(

\sqrt{{2}}

+1)) is correct because the limit can be evaluated by recognizing the pattern in the series and simplifying the expression.

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