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For positive integer n, define f(n) =...

For positive integer n, define
`f(n) = n+(16+5n-3n^(2))/(4n+3n^(2)) +(32+n-3n^(2))/(8n+3n^(2)) +(48-3n-3n^(2))/(12n+3n^(2)) +"....."+(25n-7n^(2))/(7n^(2))` ,Then the value of `lim_(n to oo) f(n)` is equal to

A

`3 + 4/3 log_(e) 7`

B

`4 - 3/4 log_(e ) (7/3)`

C

`4 - 4/3 log_(e) (7/3)`

D

`3 + 3/4 log_(e) 7`

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