1.

Amongst the several applications of maxima and minima oneof the application find the largest term of a sequence . Let {a_(n)} be a sequence . Considerf(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)=1If f(x) is the function required to find largset term in ques . (i) then -

Answer»

F INCREASES for all x
f decreases for all x
f has a maximum at `x=root(3)(400)`
f increases on [0,9]

ANSWER :C


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