The value of `lim_(ntooo) [(2n)/(2n^(2)-1)"cos"(n+1)/(2n+1)-(n)/(1-2n).(n)/(n^(2)+1)]` is
The value of `lim_(ntooo) [(2n)/(2n^(2)-1)"cos"(n+1)/(2n+1)-(n)/(1-2n).(n)/(n^(2)+1)]` is
A. 5
B. 6
C. 7
D. none of these
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Correct Answer - C
`underset(ntooo)lim[(2)/(2-(1)/(n^(2))).(1)/(n)cos((1+1//n)/(2-1//n))-(1)/(((1)/(n)-2)).(1)/((1+(1)/(n^(2)))).(1)/(n)]`
`=underset(ntooo)lim(1)/(n)[(2)/(2-(1)/(n^(2))).cos((1+(1)/(n))/(2-(1)/(n)))-(1)/(((1)/(n)-2)).(1)/((1+(1)/(n^(2))))]`
`=0xx[(2)/(2)xx"cos"(1)/(2)+(1)/(2)xx(1)/(1)]=0`.
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