Question

I need to find the limit and function values

Answer 1

a)

`\displaystyle\lim_(x\to1^-) y = 2`

b)

`\displaystyle\lim_(x\to1^+) y = 2`

c) The one-sided limits agree, so

`\displaystyle\lim_(x\to1) y = 2`

d)

`\displaystyle\lim_(x\to3^-) y = 1`

e)

`\displaystyle\lim_(x\to3^+) y = 4`

f) The one-sided limits do not agree, so

`\displaystyle\lim_(x\to3) y \text{ DOES NOT EXIST}`

Now according to the plot,

g)
`f(1) = 2`

h)
`f(3) = 3`