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Answers to exercises in elementary mathematics research
You should find a teacher to teach. I wonder if there is a university near you? If you have, you can check the class schedule, and then you can audit the advanced mathematics if you don't mind. I fainted when I first learned advanced mathematics. Later, our teacher taught me very well, and gradually I found it easier and easier.

Your question: 1/n is also greater than1/n 2. But M 1/n is divergent.

This is normal. There are many divergent series greater than 1/n, but now you must prove that1/n 2 converges, so you must find a series greater than it and converge. Because there is a theorem: A and B are series, when A

Also, don't read word for word according to the books with high numbers. There are many words in the book to deduce a theorem (these words are a little dizzy). Every time a theorem appears, there will always be many words to prove it. As for the text that leads to the theorem or how to quit the theorem, read as much as possible, and then look at the theorem directly, not at the proof of the theorem.

If you understand the theorem, look at some basic examples in the book (don't look at too difficult examples), and then do a few topics selectively. There is no need to understand every question, and there is no need to get to the bottom of it.

Also, you can use Baidu, and you can ask questions if you don't understand. It's a pity that I'm going to take the postgraduate entrance examination this year, otherwise I might be able to help you.

By the way, if you don't have the conditions to attend classes in college, you can go to the basic math class for postgraduate entrance examination (I tell you, Wendeng's basic math class for postgraduate entrance examination is free! I have listened to Wendeng's basic courses, all of which are very basic, and the teachers teach them well, although they are videos). Basic math classes are usually finished in March-May, and now it's probably too late. You can try it next year.

Besides, your writing is not bad. Don't be so insecure. My writing is not as good as yours!