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Read More: Is North Korea Preparing For War?

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Just last month, an US Air Force B-52 bomber took off from Andersen AFB carrying a “standard” round of nuclear weapons capable of destroying “most, if not all” of North Korea.

Despite the recent rise in tensions between the US and North Korea, it is apparent that the both countries are looking to start a war. The reason for this is likely that the two countries have very different ideas on how to settle their conflict and neither side has been willing to concede any ground.

Read More: North Korea Produces Mysterious “Nuclear Antelope-Hunting Robot”Q:

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I have two text files. File A in.txt, File B in.txt, each file contains 1 million records. I would like to compare these two files line by line, to be able to find the differences between them, keeping in mind that both files contain the same records.

A:

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From Dirichlet’s theorem we get $f$ is bounded, and hence $\lim_{n\rightarrow \infty}f(\frac 1n)=0$. How?

Let $f$ be a function on the positive integers such that $f(n)>0$ for all $n>0$.
(1)Show that $$\lim_{n\rightarrow \infty}f(\frac 1n)=0.$$
(2)Show that if $f(n)>0$ for all $n>0$ and if $\sum_{n=1}^{\infty}f(n)$ is finite, then $f(n)=0$ for all sufficiently large $n$.

I know that the first part is false if we assume $f(n)>0$ for all $n$, but I don’t know how we get $\lim_{n\rightarrow \infty}f(\frac 1n)=0$ from here.

A:

If $L=\displaystyle\lim_{x\to\infty} f(x)$ then by the Squeeze Theorem, for any $\epsilon>0$, there exists $M$ such that
$$L-\epsilonM$, we have
$$0
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