[Rafael-SOWNet]

Found by limitcheck at seed 11. No issue was filed.

The arctangent's cut is the imaginary axis past i and -i, and its principal value there is the limit from one side only. A limit whose arctan argument arrived on the cut was read off that value without asking which side the argument came from.

	values tend to	2.6.0 and master	this PR
arctan(log(2, x)) at -1+	-pi/2 + 0.224i	pi/2 + 0.224i	unevaluated
arctan(2i + x) at 0-	-pi/2 + 0.549i	pi/2 + 0.549i	unevaluated

Such a limit is now declined, as one on the logarithm's cut is (#2266). That includes a limit from the side where the principal value is right: telling the sides apart needs the sign of the argument's real part along the approach, which this check doesn't have.

limitcheck:

• at seeds 1 and 7, the findings and counts are master's;
• at seed 11, the arctan row is gone, and 8 more limits are declined.

Tests: both cut cases in LimitOnAnArctangentsCutTest fail on master, and a control off the cut passes. There is a BREAKING entry, A limit on an arctangent's cut is not read off the principal value.

🤖 Generated with Claude Code

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 86.75%. Comparing base (93a52f0) to head (f2cec95).
⚠️ Report is 2 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #2334      +/-   ##
==========================================
- Coverage   86.75%   86.75%   -0.01%     
==========================================
  Files         312      312              
  Lines       68447    68454       +7     
  Branches    19909    19910       +1     
==========================================
+ Hits        59379    59384       +5     
- Misses       4908     4913       +5     
+ Partials     4160     4157       -3     

Flag	Coverage Δ
cpp	37.77% <ø> (ø)
csharp	87.29% <100.00%> (-0.01%)	⬇️
fsharp	32.97% <ø> (ø)
interactive	40.72% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

Files with missing lines	Coverage Δ
...ath/Functions/Continuous/Limits/Transformations.cs	87.37% <100.00%> (+0.15%)	⬆️

... and 7 files with indirect coverage changes

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