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

Limit, Continuity and Differentiability: JEE Advanced 2022 Mathematics question

JEE Advanced 2022 · JEE Adv 2022 Paper 2, Paper 2 · Q18

JEE Advanced 2022JEE Adv 2022 Paper 2, Paper 2MathematicsHardLimit, Continuity and Differentiability420× since 2002

For positive integer

n

, define \[ f(n)=n+\frac{16+5 n-3 n²}{4 n+3 n²}+\frac{32+n-3 n²}{8 n+3 n²}+\frac{48-3 n-3 n²}{12 n+3 n²}+\cdots+\frac{25 n-7 n²}{7 n²} \] Then, the value of

\lim _{n \rightarrow \infty} f(n)

is equal to

More on Limit, Continuity and Differentiability

Practise this topic

JEE Advanced 2022 Limit, Continuity and Differentiability Question with Answer (JEE Adv 2022 Paper 2 Paper 2, Q18) | JEE Arc