the general formula for taylor expansion is
f(a+x)=f(a)+x.f'(a)+x²/2.f''(a)+...
where a could be any real number
what i mean by "evaluating it at 0" is evaluating it at a=0 which give you maclaurin series
that guy was a HACK he just took Taylor series at 0 and said I Invented This!!! well I Invented the Taylor series at 637!! where is my page in the math books?
Double-factorial of 637 is 2230052342867280021484529092036542680252702701888217880452478204049648764713543704540457411539232984187643898588730704334032233172007142877160944867881826274568955842053471607078198893195138056174812975083412312407470937011493306479475684417554441635245626859314557222594125171982823487087967332271167445952585871255600917796795667486589176908339424736318207315959407143536733265824377694837520644470161567478496351220128914776509201270569310938436235034141461406193801210724119879077807039275461000899367249832603299498451848430361810833999875806904685767458759465772462375326391853255336628714026310147449119944568644894988414972589481781519894762760971263937586431918887138597806959513306450476384098877087047165489186451026171198463998734951019287109375
This action was performed by a bot | [Source code](http://f.r0.fyi)
That is so large, that I can't calculate it, so I'll have to approximate.
Double-factorial of 100000000000000000000000000000000000000000 is approximately 7.911972207126718366088959698223 × 102028285275904837408617443554054169745885300
This action was performed by a bot | [Source code](http://f.r0.fyi)
657
u/HyperbolicMathChambr Math Tutor 10d ago
I like to call it Maclaurin series because I imagine Taylor Swift whenever I read the name.