What is the pattern in the sequence 1 2 4 3 6 8 7 14 16?

Addison Parker
2022-09-11
Answered

What is the pattern in the sequence 1 2 4 3 6 8 7 14 16?

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Why does the limit as $x$ goes to $0$ of $\mathrm{cos}\frac{1}{x}$not exist?

Use two different sequences: ${x}_{n}=\frac{1}{n\pi}$, and ${y}_{n}=\frac{2}{(2n+1)\pi}$ and show that $lim\mathrm{cos}\frac{1}{{x}_{n}}\ne lim\mathrm{cos}\frac{1}{{y}_{n}}$

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