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Evaluate : (i) Lim_(nrarroo) sum_(r=0)^(nrarr1) (1)/(sqrt(n^(2)-r^(2))) , (ii)Lim_(nrarroo) 3/n[1+sqrt((n)/(n+3))+sqrt((n)/(n+6))+sqrt((n)/(n+9))+"....."+sqrt((n)/(n+3(n-1)))] (iii) lim_(nrarroo) (sum_(r=1)^(2n) (3nr^(2)+2n^(2)r)) |
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