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If `a_(1)` is the greatest value of `f(x)` , where `f(x) =((1)/(2+[sinx]))` (where [.] denotes greatest integer function) and `a_(n-1)=((-1)^(n-2))/((n+1))+a_(n)` (where n in N), then `lim_(nrarroo) (a_(n))` isA. `1`B. `e^(2)`C. `In^(2)`D. None of these |
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Answer» Correct Answer - C `a_(1)=1` implies a_(2)=1-(1)/(2)` ` impliesa_(3)=1-(1)/(2)+(1)/(3)` `…………………….` `……………………..` `a_(alpha) = 1-(1)/(2)+(1)/(3)-(1)/(4)+…………….. =ln 2` |
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