1.

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))is

Answer»

`1`
`E^(2)`
`In^(2)`
NONE of these

Solution :`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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