How can I solve them?
[math]\mbox{1. }\, \lim_{n \rightarrow \infty}\, \dfrac{\sqrt[3]{n^4\, +\, 3n^7\, -\, 2n^8\,}\, +\, \sqrt[3]{1\, -\, n^4\, +\, 2n^8\,}}{n^{(1/6)}\, \sqrt{n^3\, -\, 2\,}}[/math]
[math]\mbox{2. }\, \lim_{n \rightarrow \infty}\, \sum_0^n\, \left(\cos\left(\dfrac{2}{3}\pi\right)\right)^n[/math]
Thank you
[math]\mbox{1. }\, \lim_{n \rightarrow \infty}\, \dfrac{\sqrt[3]{n^4\, +\, 3n^7\, -\, 2n^8\,}\, +\, \sqrt[3]{1\, -\, n^4\, +\, 2n^8\,}}{n^{(1/6)}\, \sqrt{n^3\, -\, 2\,}}[/math]
[math]\mbox{2. }\, \lim_{n \rightarrow \infty}\, \sum_0^n\, \left(\cos\left(\dfrac{2}{3}\pi\right)\right)^n[/math]
Thank you
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