Limits §
This is really obvious, I was a bit lazy to write these down.
Also, in MATH119, I learned that we can use Big O to calculate these limits!
Basics §
limn→∞C=C, for any constant C
limn→∞n=∞
limn→∞n1=0
Algebra of Limits §
limx→acf(x)=climx→af(x)
limx→a[f(x)±g(x)]=limx→af(x)±limx→ag(x)
limx→a[f(x)⋅g(x)]=limx→af(x)⋅limx→ag(x)
limx→a[g(x)f(x)]=limx→ag(x)limx→af(x), if limx→ag(x)=0
limx→a(f(x)k)=(limx→af(x))k
Sequences §
A sequence an infinitely long list of numbers.
Whether a sequence approaches a limit?
limx→2C=C
limx→2f(x)=5
limx→2f(x)=5