pow:start
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pow:start [2026/01/19 11:50] mazur |
pow:start [2026/01/27 01:51] (current) mazur |
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| ====== Problem of the Week ====== | ====== Problem of the Week ====== | ||
| ~~NOTOC~~ | ~~NOTOC~~ | ||
| - | <box 85% round orange| > | + | <box 85% round orange| Problem 1 (due Monday, February 9 ) > |
| - | + | ||
| - | The problem of the week will return in the Spring 26 semester. We thank everyone who participated this Fall. For the winter break, we suggest reviewing all the problems from the Fall and working on the additional problems posted at the bottom of the provided solutions. | + | |
| + | For which polynomials $f(x)$ the limit | ||
| + | \[ \lim_{x\to \infty}\left(\sqrt[1013]{f(x+2)}-2\sqrt[1013]{f(x+1)}+\sqrt[1013]{f(x)}\right)\] | ||
| + | is finite and non-zero? | ||
| </box> | </box> | ||
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| ===== Overview ===== | ===== Overview ===== | ||
| - | Every other Monday (starting 08/25/25), we will post a problem to engage our mathematical community in the problem solving activity and to enjoy mathematics outside of the classroom. | + | Every other Monday (starting 01/26/26), we will post a problem to engage our mathematical community in the problem solving activity and to enjoy mathematics outside of the classroom. |
| Students (both undergraduate and graduate) are particularly encouraged to participate as there is no better | Students (both undergraduate and graduate) are particularly encouraged to participate as there is no better | ||
| way to practice math than working on challenging problems. If you have a solution and want to be a part of it, e-mail your solution to Marcin | way to practice math than working on challenging problems. If you have a solution and want to be a part of it, e-mail your solution to Marcin | ||
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| - | * [[pow:Problem7f25|Problem 7]] Solved by Levi Axelrod and Matt Wolak. | + | * [[pow:Problem1s26|Problem 1]] Solution |
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| - | * [[pow:Problem6f25|Problem 6]] Solution submitted by Gerald Marchesi, Trinidad Segovia (a freshman student at Purdue University), and Mathew Wolak. | + | |
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| - | * [[pow:Problem5f25|Problem 5]] Solution submitted by Ashton Keith (Purdue University), Gerald Marchesi, and Alif Miah. | + | |
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| - | * [[pow:Problem4f25|Problem 4]] Solution submitted by Alif Miah,Takeru Sueyoshi (from Anglo-Chinese Junior College based in Singapore), and Mathew Wolak. | + | |
| - | + | ||
| - | * [[pow:Problem3f25|Problem 3]] No solutions were submitted. | + | |
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| - | * [[pow:Problem2f25|Problem 2]] Solved by Gerald Marchesi, Josiah Moltz, and Mathew Wolak. | + | |
| - | + | ||
| - | * [[pow:Problem1f25|Problem 1]] Solution submitted by Raisha Chowdhury, Gerald Marchesi, Josiah Moltz, and Mathew Wolak. | + | |
| * [[pow:Fall 2025]] | * [[pow:Fall 2025]] | ||
pow/start.1768841431.txt · Last modified: 2026/01/19 11:50 by mazur