#### Answer

(a) A sequence is a list of numbers written in a definite order.
(b) To say that $\lim\limits_{n\to\infty}a_{n}=8$ is to say that the terms of the sequence get closer and closer to $8$.
(c) To say the $\lim\limits_{n\to\infty}a_{n}=\infty$ is to say that the terms of the sequence keep growing without bound (i.e. they blow up).

#### Work Step by Step

(a) The definition of a sequence is dealt with on page 734, where it describes a sequence as being a list of numbers written in a definite order. It