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| FullSimplify[ AbsArg[ComplexExpand@SolveValues[z^3 == (1 - I) Sqrt[2], z]]] Also works. |
| There is an `Assumption` [option][1] in `Limit` or `DiscreteLimit` function: In[43]:= DiscreteLimit[(x1^n+x2^n)^(1/n),n->\[Infinity],Assumptions->0 \[Infinity],Assumptions->1 |
| ![infc][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2021-11-18_20-35-12.png&userId=23928 [2]: https://www.wolframcloud.com/obj/82a3e39c-dec3-4e5f-8541-47abba9c6361 |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/9fecdafe-eac0-4391-9967-b45a4719c8f4 |
| The steps are correct but the conclusion is wrong. The last step means the series uniformly convergent to a divergent series. So the series is divergent. Simply speaking anything parallel to $1/x$ on log log plot or can be squeezed between two... |
| *MODERATOR NOTE: a submission to computations art contest, see more:* https://wolfr.am/CompArt-22 ---------- ![img][1] &[Wolfram Notebook][2] [1]:... |
| `PositiveReals` puts a constraint on every variable. A notebooks is attached with code. ![pr][1] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=pr.png&userId=23928 |
| Root-Finding Fractal demo is also very attractive on this topic. [![enter image description here][1]](https://demonstrations.wolfram.com/RootFindingFractals/) [1]:... |
| *Grid lines are solutions for valid pair of $r$ and positive integer $n$ in the ceiling tower equation with 6 levels* ---------- ![sol][1] &[Wolfram Notebook][2] [1]:... |
| I bought Mamikon's New Horizons in Geometry and I am really impressed by the quality of the context. MAA press prints some most interesting math books in market IMO. ![graph][1] [1]:... |