Re: Granica ciągu
: 3 lip 2024, o 22:48
\(\displaystyle{ 0 \le \cos n ^{2} \le 1 }\) \(\displaystyle{ | \cdot 8}\)
\(\displaystyle{ 0 \le 8 \cos n ^{2} \le 8 }\) \(\displaystyle{ |:(3n+1)}\)
\(\displaystyle{ 0 \leftarrow }\)\(\displaystyle{ \frac{0}{3n+1} \le \frac{8 \cos n ^{2} }{3n+1} \le \frac{8}{3n+1 } }\)\(\displaystyle{ \rightarrow 0}\)
Dobrze?
\(\displaystyle{ 0 \le 8 \cos n ^{2} \le 8 }\) \(\displaystyle{ |:(3n+1)}\)
\(\displaystyle{ 0 \leftarrow }\)\(\displaystyle{ \frac{0}{3n+1} \le \frac{8 \cos n ^{2} }{3n+1} \le \frac{8}{3n+1 } }\)\(\displaystyle{ \rightarrow 0}\)
Dobrze?