math104-s22:notes:lecture_3
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math104-s22:notes:lecture_3 [2022/01/22 09:52] pzhou created |
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| First, we will get familiar with a few examples of convergent and non-convergent sequences. Then, we prove a few properties on convergent sequence, first, they are bounded; second, they can only converge to a single value. Then, we will prove some operations (+,-,/, etc) on convergent sequence. Finally, we prove a few useful examples of limit (Thm 9.7). See also [[https:// | First, we will get familiar with a few examples of convergent and non-convergent sequences. Then, we prove a few properties on convergent sequence, first, they are bounded; second, they can only converge to a single value. Then, we will prove some operations (+,-,/, etc) on convergent sequence. Finally, we prove a few useful examples of limit (Thm 9.7). See also [[https:// | ||
| - | We will tackle exercises in Ross Sec9 in discussion time. You can prepare ahead of time. | + | I will present a cool trick to find limit for a recursive defined sequence, e.g. $s_{n+1}=\sqrt{s_n+1}$, |
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| + | Discussion | ||
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math104-s22/notes/lecture_3.txt · Last modified: 2022/01/25 10:50 by pzhou
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