Summenformeln

(∑_(k=1)^n)k

(∑_(k=1)^n)(k^2)

(∑_(k=1)^n)(k^3)

(∑_(k=0)^n)(q^k)

Komplexe Zahlen

((1+I)/(1-I))

Solve[(x^2)+2x+5==0,x]

Betrag und Ungleichungen

Plot[(x^2),{x,-5,5}]

Plot[{((2x+1)/(x-1)),1},{x,-5,5}]

Reduce[((2x+1)/(x-1))<1]

Plot[Abs[x],{x,-5,5}]

Plot[{Abs[2x+1],Abs[x-1]},{x,-5,5}]

Reduce[Abs[2x+1]≤Abs[x-1],x]

Reduce[Abs[2x+1]≤Abs[x-1]&& Im[x]==0,x]

Plot[{3x-2,(x^2)+7x},{x,-5,5}]

Plot[(x^2)+7x-(3x-2),{x,-5,5}]

Binomischer Satz

(∑_(k=0)^n)Binomial[n,k](a^k)(b^(n-k))

(∑_(k=0)^n)Binomial[n,k]

(∑_(j=0)^n)Binomial[k+j,j]