Let $x_n = \left(1−\frac{1}{n}\right)\sin(\frac{nπ}{3})$ for $n \ge 1$. Denote $l=\liminf x_n$ and $s=\limsup x_n$. Then
- $l \ge -\sqrt{3}/2$
- $s \le \sqrt{3}/2$
- $l \ge -1/2$
- $s \le 1/2$
I am not able to find the limit here, please help with this.
Let $x_n = \left(1−\frac{1}{n}\right)\sin(\frac{nπ}{3})$ for $n \ge 1$. Denote $l=\liminf x_n$ and $s=\limsup x_n$. Then
I am not able to find the limit here, please help with this.
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