X-3
3. (15 pts) consider function g(x)
y2-9
a. (3pt) evaluate g(x) at x = 0,-3, and 3
b. (5pts) compute the following limits
i.
ii.
ii.
limit of g(x) as x approaches 0
limit of g(x) as x approaches 3
limit of g(x) as x approaches -3
limit of g(x) as x approaches - 3 from the left side
limit of g(x) as x approaches -3 from the right side
v.
(3pts) based on limits computed in 2b, find the vertical asymptotes, if there are any. explain.
12pts) identify the discontinuities of g(x) and classify them as removable or non-removable
e. (1pt) plot g(x)