Differences

This shows you the differences between two versions of the page.

--- math104-s22:s:keita_tanabe:start [2022/02/09 15:46]
65.108.99.52 old revision restored (2022/01/28 17:18)
+++ math104-s22:s:keita_tanabe:start [2026/02/21 14:41] (current)
@@ Line 1: / Line 1: @@
 Hi everyone, I am Keita Tanabe. I'm a first year intended math and data science major. This is my first upper div class so I might not be super used to everything but I hope to do my best and get to know everyone. Other things about me are that I like to do kendo, watch anime, and play Nintendo games.
+(1)Its a little embarrassing but my first question is how mathematical induction works, I've never really understood it and just kinda accepted that it works?
+(2)For the proof of theorem 10.11, why is it that we only have to prove that limsup(sn)=liminf(sn), why does this not include the case where sn is infinite?
+(3)In theorem 11.2, what exactly is (i) saying, is it saying that there is a subsequential limit at t if there are an infinite number of elements before t? I don't really understand what the clause is describing.
+(4)In 14.2 example 2, why is it that 1/n is the only power that diverges?
+(5)In the proof for the ratio test, why is it that we observe the summation of 1/n and 1/n^2, I don't understand the reason for using these.
 HW01:{{ :math104-s22:s:keita_tanabe:math_104_hw_01_keita_tanabe.pdf |}}
+HW02:{{ :math104-s22:s:keita_tanabe:math_104_hw_2_keita_tanabe.pdf |}}
+HW03:{{ :math104-s22:s:keita_tanabe:104_hw_03_keita_tanabe.pdf |}}
+HW04:{{ :math104-s22:s:keita_tanabe:104_hw_04_keita_tanabe.pdf |}}
+HW05:{{ :math104-s22:s:keita_tanabe:104_hw_05_keita_tanabe.pdf |}}
+HW06:{{ :math104-s22:s:keita_tanabe:104_hw_06_keita_tanabe.pdf |}}
+HW07:{{ :math104-s22:s:keita_tanabe:104_hw_7_keita_tanabe.pdf |}}

Lecture Notes

User Tools

Site Tools

Differences

Page Tools