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Problems with diff(Sum((-1)**(n - 1)*x**n/n, (n,1,oo)).doit(),x) #14213

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ghost opened this issue Feb 15, 2018 · 0 comments
Open

Problems with diff(Sum((-1)**(n - 1)*x**n/n, (n,1,oo)).doit(),x) #14213

ghost opened this issue Feb 15, 2018 · 0 comments
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@ghost
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ghost commented Feb 15, 2018

>>> (diff(Sum((-1)**(n - 1)*x**n/n, (n,1,oo)).doit(),x)
 ⎛⎧     -1                             ⎞
 ⎜⎪    ─────       for │x│ ≤ 1 ∧ -x ≠ 1⎟
 ⎜⎪    x + 1                           ⎟
 ⎜⎪                                    ⎟
 ⎜⎪  ∞                                 ⎟
 ⎜⎪ ____                               ⎟
 ⎜⎪ ╲                                  ⎟
-⎜⎨  ╲       n  n                      ⎟
 ⎜⎪   ╲  (-1) ⋅x                       ⎟
 ⎜⎪   ╱  ────────       otherwise      ⎟
 ⎜⎪  ╱      x                          ⎟
 ⎜⎪ ╱                                  ⎟
 ⎜⎪ ‾‾‾‾                               ⎟
 ⎜⎪n = 1                               ⎟
 ⎝⎩                                    ⎠

There is a minus sign outside the left brace, I have never seen that notation
I think it would be better if the 2 conditions at the top had brackets around them,

for (│x│ ≤ 1) ∧ (-x ≠ 1)

Problem with the bottom term too

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