Let

Determine $\underset{x-6}{lim}g(x),$ or else show it does not exist.

Q$2.5$ marks.

A calculus workshop opens at II:$00$ am and stops arcepting new students at $4$:$00$ pm$.$ The number of students in line to request help $t$ hows after opening time is $n(t)=|(t-2{)}^2(t-3)|.$ A student arriving when there are already $s$ students lined up has their query answered after $T(s)=s+4$ minutes. Let $u(t)$ be the number of minute, until a student, arriving $t$ hows after the workshop opens, receives an answer to their query.

a$)$ Express $u(t)$ as a function of $t$

b$)$ Skerch the function $u(t)$ and state its domain

c$)$ Will a student arriving at noon receive an answer more quickly than one arriving at $3$:$00$pm$?$