# lim x--> ?

##### 1 Answer

Jan 25, 2017

See the explanation below

#### Explanation:

You can simplify the expression of the function noting that:

So that we have:

We have then:

(a)

# lim_(x->-4) f(x) = lim_(x->-4) (x-4) = -8# (b)

# lim_(x->0) f(x) # does not exist, since:

# lim_(x->0^-) f(x) = lim_(x->0^-) (x-4) = -4#

# lim_(x->0^+) f(x) = lim_(x->0^+) (x+4) = 4# (c)

# lim_(x->4) f(x) = lim_(x->4) (x+4) = 8#