Question

Prove that there is a number Z > 0 such that if absolute value of (a) < 5, then absolute value of (a³+3a²+a) < 1/100

b) Prove that there is a number Z > 0 such that if x² + y² < Z^2, then absolute value of (x² + y² + 3xy + 180xy ^5) < 1/10,000 ​