(3^2^0+1)*(3^2^1+1)*(3^2^2+1)*...*(3^2^n+1)

sqrt - кв. корень

^ - степень

1)lim((1-2+3-4+...-2n)/sqrt(n^3 +1)) =

lim((1-2)/sqrt(n^3 +1) + (3-4)/sqrt(n^3 + 1) + .) lim = lim n/sqrt(n^3 + 1) =

0

2)lim(1/1*2+1/2*3+...+1/(n-1)*n)=

lim(1/1 - 1/2 + 1/2 + 1/3 - 1/3) =

0

3)lim(1/1*3+1/3*5+...1/(2n-1)*(2n+1)) =

lim(1/2[1/1 - 1/3] + 1/2[1/3 - 1/5] + .) =

lim (1/2 + ( -1/2 * 1/3 + 1/2 * 1/3) + .) = 1/2