a(n + 1) = (4(n + 1) - 3)/√(n+1)*3^(n + 1) = (4n + 1)/√3(n+1)*3^na1^n = ((4*1 - 3) / √1*3^1)^n = (1/√3)^nlim(n->00) (4n + 1)/√3(n+1)*3^n : (1/√3)^n = lim(n->00) (4n + 1)/√3(n+1)*3^n * (√3)^n = lim(n->00) (4n + 1)/√3(n+1) = + ∞
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a(n + 1) = (4(n + 1) - 3)/√(n+1)*3^(n + 1) = (4n + 1)/√3(n+1)*3^n
a1^n = ((4*1 - 3) / √1*3^1)^n = (1/√3)^n
lim(n->00) (4n + 1)/√3(n+1)*3^n : (1/√3)^n = lim(n->00) (4n + 1)/√3(n+1)*3^n * (√3)^n = lim(n->00) (4n + 1)/√3(n+1) = + ∞