Boundness

• (d2.15) A sequence $(a_n)$ is bounded if $\exists M>0:\forall n,|a_n|<M$

• (2.16) Every convergent sequence is bounded

• Arithmetic

  • (q2.19a,b,f) The sum/difference/product of two bounded sequences is a sequence bounded
  • (q2.19d) The sum of bounded sequence and unbounded sequence and is unbounded sequence