JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

a_n

and

b_n

are positive integers and

a_n+\sqrt{2} b_n

=(2+\sqrt{2})^n

, then

\lim \limits_{{n \rightarrow-}}\left(\frac{a_n}{b_n}\right)=

View answer and explanation

Correct option: B

\sqrt{2}

Option B (

\sqrt{2}

) is correct because after finding expressions for

a_n

and

b_n

and taking the limit of their ratio, the result is

\sqrt{2}

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