math104-s21:s:zheyuanhu
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math104-s21:s:zheyuanhu [2021/04/22 16:26] 199.193.127.31 |
math104-s21:s:zheyuanhu [2026/02/21 14:41] (current) |
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| Questions: | Questions: | ||
| - From the lecture on April 15th | - From the lecture on April 15th | ||
| - | - {{:math104: | + | - {{math104-s21: |
| - | * I cannot think of why x^2 is an example of f(x) ≠ P_x0(x) | + | * I cannot think of why $x^2$ is an example of f(x) ≠ P_x0(x) |
| * I tried fixing $x_0 = 0$, so $P_0(x) = ∑ c_n \cdot (x)^n$, where $\alpha = lim sup |c_n|^{1/n} = 1$, so $R=1$ | * I tried fixing $x_0 = 0$, so $P_0(x) = ∑ c_n \cdot (x)^n$, where $\alpha = lim sup |c_n|^{1/n} = 1$, so $R=1$ | ||
| * Then $f(0.5) = 0.25 = P_0(0.5) = 0 + 0 + 1 * 0.5 ^ 2 + 0 + ... + 0$ | * Then $f(0.5) = 0.25 = P_0(0.5) = 0 + 0 + 1 * 0.5 ^ 2 + 0 + ... + 0$ | ||
| + | - A question from my friend, finding open cover | ||
| + | - {{math104-s21: | ||
| + | - My attempt: | ||
| + | * {{math104-s21: | ||
| + | |||
math104-s21/s/zheyuanhu.1619108792.txt.gz · Last modified: 2026/02/21 14:44 (external edit)
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