A First Course in Complex Analysis · Problem 7.5.6

Taylor and Laurent Series — Beck, Marchesi, Pixton & Sabalka

Mathematics — Complex Analysis · convergent-sequence-bounded

Problem

Show that a convergent sequence is bounded, i.e.: if

\lim_{n\to\infty} a_n

exists, then there is an

M

such that

|a_n| \leq M

for all

n \geq 1