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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`
If f(x) is the function required to find largset term in ques . (i) then -

A

f increases for all x

B

f decreases for all x

C

f has a maximum at `x=root(3)(400)`

D

f increases on [0,9]

Text Solution

Verified by Experts

The correct Answer is:
C
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