Diluvion – Captain’s Journal Cheat Code [Updated-2022]
“More than just the next in a long line of open world, third-person action games, Distraint 2 is a full scale murder-mystery. The story is not simply in the particulars of its characters, but is a visual feast that covers all aspects of the game from the gameplay to the characters to the story itself.”
8.7 – Games Round Table
About The Author:
D.A. Soltero
Author of the audio book “What to Make of the End”
E-mail: [email protected]
Website: www.Distraint2.com
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Twitter: @Distraint2
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How to prove: $p^\alpha+q^\alpha \ge 1$?
I tried proving it by this:
Let $p,q$ be primes, and $p
eq q$. Assume that $p^\alpha+q^\alpha \le 1$, for all $\alpha$.
Then $0\le p^\alpha+q^\alpha \le 1$ for all $\alpha$.
Hence $\sum_{\alpha=1}^\infty\frac1{p^\alpha+q^\alpha}$ converges.
Therefore $1+q\ge0$ contradiction, since $q$ is positive.
Is this ok? I’m a little bit confused by this proof.
A:
Your proof is incorrect. Suppose $\sum_{n=1}^\infty \frac{1}{p^n + q^n}$ converges. It implies $\sum_{n=1}^\infty (\frac{1}{p^{n+1}} – \frac{1}{p^n}) \leq \sum_{n=1}^\infty \frac{1}{p^{n+1}}
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