10.2-bo'lim: Ketma-ketliklar haqida ko'proq

Quyidagi masalalarning har biri uchun ketma-ketlikning ortib borayotganini, kamayib borayotganini, monoton emasligini, pastdan chegaralanganligini, yuqorida chegaralanganligini va/yoki chegaralanganligini aniqlang.

1. \(\left\{ {\displaystyle \frac{1}{{4n}}} \right\}_{n = 1}^\infty \) Yechim
2. \(\left\{ {n{{\left( { - 1} \right)}^{n + 2}}} \right\}_{n = 0}^\infty \) Yechim
3. \(\left\{ {{3^{ - \,n}}} \right\}_{n = 0}^\infty \) Yechim
4. \(\left\{ {\displaystyle \frac{{2{n^2} - 1}}{n}} \right\}_{n = 2}^\infty \) Yechim
5. \(\left\{ {\displaystyle \frac{{4 - n}}{{2n + 3}}} \right\}_{n = 1}^\infty \) Yechim
6. \(\left\{ {\displaystyle \frac{{ - n}}{{{n^2} + 25}}} \right\}_{n = 2}^\infty \) Yechim