Chapter 274: This Number Series Converges [Ten Miles Flying]
[Thank you for your support, Brother Ten Miles Flying has been adding more for you]
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Liu Chen looked at the boy he had never met before, and said with a smile: "You want to know how I got into the East Eighteen?"
He nodded heavily, "I want to know." Pen × fun × Pavilion www. biquge。 info”
"It's a secret, and you can't tell anyone about it, but if you give me five hundred dollars, I can consider telling you. ”
The boy's face changed, his heart was furious, his chest rose and fell, isn't this a robbery of money? ”
"I'm not kidding you, if you want to know, I'll take the money. ”
The boy didn't know what to say.
Liu Chen didn't talk to him, and walked towards the library with his legs raised.
A post on BBS quickly became a hit and hit the top 10 on the homepage: The first man to walk into the East Eighteen!
On September 1, 2003, the first day of the opening of the new library of Jianghai University, today is also the day of the report, there are many students and parents in the school, and the young freshmen finally entered the ivory tower full of illusions after three years of depressed high school.
The new library of Jianghai University is definitely the best library in the country, it should not be one of them, Liu Chen has been to many famous universities for meetings in his previous life and has never seen a better one.
It's really good in school, Liu Chen didn't see Zhuo Ling after looking around, she was a little lost in her heart, it seems that she left, found a book casually, looked at it freely, and when she was bored, she took out a book and wrote two papers from memory.
When you have nothing to do, you always have to write a few papers to have fun, after all, in school, you still need to engage in academic dripping.
When he came back from a trip to the bathroom, he saw two classmates standing next to his seat arguing fiercely about something, and the location he chose was next to the aisle, and close to the stairs, just overlooking the entrance to the library. Students can talk and discuss here, but not in the library.
A boy and a girl, who look like freshmen, have just entered college in high school. The feature was still evident, the boy had very short hair, and was meticulously wearing a half-sleeved shirt with long trousers underneath, and the shirt was tucked into the pants. Very thin and with a somewhat pointed head.
The girl is wearing a long skirt, but her skirt is very tightly wrapped, dark, slightly fat, and her forehead is very protruding.
Liu Chen walked back to his seat. The two children moved outside, still arguing, and when they heard what they were discussing, it turned out to be freshmen.
To be able to enter Jianghai University, it is the top of each high school, this is not before the start of school to come to the library to read, to become a top student must be diligent and hard-working, just from high school children love to learn.
The two argued a few more words, and the boy said excitedly, "This sequence (1+1/4)(1+1/9)(1+1/16)...... (1+1/n*n) is the multiplication of infinite terms, each of which is greater than 1. Definitely can't converge!"
As she spoke, she drew an equation on the paper, and another girl said, "Not necessarily, I feel like I can converge!"
"Then tell me how it converges? Haven't you heard that even a thin paper can reach unimaginable heights when folded dozens of times in a row! This sequence of numbers has no boundaries at all! It is impossible to converge!"
The boy's harsh words are very intense. There is no so-called pity and pity when arguing, and the girl can't say it when he questions him like this.
The discussion was intense, and the voice was also very loud, it seemed that if you didn't help them solve this problem, don't think about being quiet, Liu Chen glanced at it casually in his heart, and said lightly: "This number series is indeed convergent!"
The boy was unconvinced: "How can it converge? Can an unbounded series of numbers converge?"
Liu Chen asked rhetorically, "How do you know that this series of numbers cannot converge?"
"The first term in this sequence is 1.25. The tenth term is all 1.01, which must be infinity, supreme, and non-convergence!"
Liu Chen was not in a hurry, and said with a smile: "I learned a formula for square difference in junior high school, remember?"
"This formula is naturally known, and we are now talking about the problem of limits and convergence in [advanced mathematics], not junior high school pediatrics. The boy's tone was quite proud, and he was the first in the city in the high school entrance examination that year.
Liu Chen didn't say anything, he directly wrote the square difference form of the number series just now on the paper, and looked at the two of them, "Can you understand it here?"
The two of them frowned and watched, both feeling that such a change had indeed had a great effect, but they still couldn't figure out the key.
Liu Chen waited for a while and saw that the two of them hadn't seen it through, so he had to write another transformation on the paper, they were all top students, and the foundation was very good, so he suddenly realized.
Liu Chen wrote a more difficult number series and said: "In fact, the number series in this problem is not complex enough, and the results can be produced by simplifying it directly, if it is a more difficult number series, it can reflect the value of this roundabout method!"
The boy looked at Liu Chen in surprise, his face was a little hot, it was true that he lost, but he lost convincingly, the person in front of him must have a deep attainment in [Advanced Mathematics], not only to speak clearly, but also to draw inferences.
The girl's face showed joy and said, "Wow, you must be the senior of the mathematics department, right? ”
"I'm in the hospital. Liu Chen didn't want to say that he was a freshman, so the two of them had to make a fuss again, "Heh, it's a bit of a twist to learn [Advanced Mathematics] at the beginning, and the teacher talks quickly in class, and it's right to preview in advance." ”
The girl stood up straight, stretched out her hand, and said, "Hello senior, what a coincidence, we are also freshmen in the Electric Academy, my name is Tang Xiao, this is my high school classmate Wang Cong, we are both Qidong Middle School in Jiangsu Province, high school is an experimental class, and we are still classmates." ”
It turned out that these two people came from Qidong High School in Suzhou Province, and Qidong High School almost knew among every student that they were very good at competitions and promotions, and the secret scrolls that flowed out of the school were circulated throughout the country.
Liu Chen stretched out his hand and shook Tang Xiao and let go, Wang Cong stood there very unnaturally, Tang Xiao touched him, the young man mustered up the courage to look up at Liu Chen, and also stretched out his hand and said, "Senior, I'm sorry, my tone just now was a little anxious, don't mind." ”
Tang Xiao also helped: "He's like this, haven't you heard that good men don't fight with women?" Every time I argue, it's like I want to eat people, it's really ...... careful."
"I ......" Wang Cong knew that he was indeed so. (To be continued.) )