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Amongst the several applications of maxi...

Amongst the several applications of maxima and minima one of the application find the largest term of a sequence . Let `{a_(n)}` be a sequence . Consider f(x) obtained on replacing x by n,e.g let `a_(n)=(n)/(n+1)`. Consider f(x) `=(x)/(x+1)` on `[1,oo),f'(x)=(1)/((x+1)^(2))gt0` For all x. Hence max `f(x)=underset(xtooo)limf(x)=1`
The largest term of `a_(n)=(n^(2))/(n^(3)+200)` is -

A

`(29)/(453)`

B

`(49)/(543)`

C

`(43)/(543)`

D

`(41)/(451)`

Text Solution

Verified by Experts

The correct Answer is:
B
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