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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 - |
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Answer» F INCREASES for all x |
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