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/sci/ - Science & Math

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>> No.11640819 [View]
File: 293 KB, 2200x1900, __remilia_scarlet_touhou_drawn_by_bb_baalbuddy__fb650d020f8048ce707b9ab23515f7d3.png [View same] [iqdb] [saucenao] [google]
11640819

>>11640717
Set [math]y=x+7[/math] for general convenience.
When [math]y \geq 0[/math], we have
[eqn]\sum_{n=1}^{\infty} y^{n-1} \leq \sum_{n=1}^{\infty} (2+ (-1)^n)y^{n-1} \leq \sum_{n=1}^{\infty} 3 y^{n-1} = 3 \sum_{n=1}^{\infty} y^{n-1} [/eqn]
So the radius is [math]1[/math].

Not sure this quite works as is, tho.

>> No.11601790 [View]
File: 293 KB, 2200x1900, __remilia_scarlet_touhou_drawn_by_bb_baalbuddy__fb650d020f8048ce707b9ab23515f7d3.png [View same] [iqdb] [saucenao] [google]
11601790

>>11601632
>muh collumn space

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