JEE Advanced 2022 Paper 2 Mathematics Q18

Mathematics

Problem

For positive integer n, define f(n)=n+(16+5n−3n²)/(4n+3n²)+(32+n−3n²)/(8n+3n²)+(48−3n−3n²)/(12n+3n²)+⋯+(25n−7n²)/(7n²). Then, the value of lim_{n→∞}f(n) is equal to

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