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/sci/ - Science & Math

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>> No.9644737 [View]
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9644737

>>9644570
Please don't rub salt in the wound

>> No.9285471 [View]
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9285471

how do I show [math]x_{n} = \frac{1}{2^{n}}[/math] is cauchy using the definition:

[math]\forall \hspace{0.2cm} \epsilon > 0\hspace{0.2cm} \exists\hspace{0.2cm} N \in \mathbb{N}\hspace{0.2cm} \text{such that}\hspace{0.2cm} \forall\hspace{0.2cm} m,n \geq N, |x_{n}-x_{m}| < \epsilon [/math]

I get as far as [math]\big| \frac{1}{2^{n}} - \frac{1}{2^{m}} \big| = \big| \frac{2^{m}+2^{n}}{2^{n+m}} \big| [/math]

>> No.9212924 [View]
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9212924

>>9212918
t-thanks
i'm trying to get better anon, this takes time.

>> No.9196702 [View]
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9196702

>>9196683
fuck this question, it's so simple but my iq is too low. t-thanks for the quick response



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