| Front | Template for a proof that [$](x_{n})\rightarrow{x}[/$] |
| Back | 1. "Let [$]\epsilon>0[/$] be arbitrary"2. Demonstrate a choice for [$]n\in{N}[/$]. This step usually requires the most work.3. Now, show that N actually works4. Assume [$]n\geq{N}[/$]5. With N well chosen, it should be possible to derive the inequality [$]|X_{n}-x|<\epsilon[/$] |
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| Front | Rearrangement Convergence Theorem |
| Back | If [$]\sum_{k=1}^{\infty}a_{k}[/$] converges absolutely, then any rearrangement of this series converges to the same limit. |
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| Front | Two sets A and B have same cardinality if |
| Back | there exists [$]f:A\rightarrow{B}[/$] that is 1-1 and onto. In this case we write A~B |
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