Limits, Continuity and Differentiability

Section: Mathematics

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Question : 11 of 51

Marks: +1, -0

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

x→∞

f(n) is equal to

[JEE Adv 2022 P2]

3+‌
4
3
loge7
4−‌
3
4
loge(‌
7
3
)
4−‌
4
3
loge(‌
7
3
)
3+‌
3
4
loge7

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