This is the command I've tried, after entering it in the GeoGebra app (Android, up to date):
It shows "?", while it should be 1.
Which GeoGebra app?
CAS, forgot to mention.
classic answer undefined also limit(simplify(),inf) says 1
cos(x), sin(x), cos²(x), sin²(x), cos²(x) + sin²(x)
all those function don't have a limit when x--->∞
It is not a GeoGebra error : GeoGebra give the good answer : undefined (good answer) : 1 is wrong answer
if you simplify : Simplify(cos²(x) + sin²(x)) = 1
So limit(Simplify(cos²(x) + sin²(x))) = limit (1) = 1..!
Hm, maybe it should work without an explicit simplification command?
Hm, if at a mathematical exam you say :
limit(cos²(x) + sin²(x))=1 when x-->∞
i say "why" and i don't give you 20/20
And I say "by the famous identity...", just one more step GeoGebra should take.
GeoGebra is a bad boy : he doesn't know famous identity phew
Seriously : i am teacher and i am very happy when a machine force students to... think..! (and your example is a very good example... very instructive). We must give them critical mind...
The machine should do everything perfectly ? so we don't have to think ? it is a point of view...
Hope for you developers will do this...
So you'd accept a machine to be plain wrong instead of trying to fix it... nice approach man, nice approach, you'll definitely get a good sheeple out of it. Good luck...
i gave you (in my first post) my point of view (and i didn't insult you...)
Good luck to you too man
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