Ciągi: Poproszę o zadanie pierwsze, podpunkty e f g

[latex] lim_{n o infty} frac{(n+1)^2}{n^2+1}= lim_{n o infty} frac{(n+1)(n+1)}{n^2+1}= lim_{n o infty} frac{n^2(1+ frac{1}{n})(1+ frac{1}{n} ) }{n^2(1+ frac{1}{n^2} )} = frac{1cdot 1}{1}=1 [/latex] [latex] lim_{n o infty} (1-3n)= lim_{n o infty} n( frac{1}{n} -3)=-3 cdot infty=-infty [/latex] [latex] lim_{n o infty} (n^3-5)= lim_{n o infty} n^3(1- frac{5}{n^3}) =1cdot infty=infty[/latex]