Question

find the limit as x approaches -6 of the function (2x+12)/|x+6| if it exists. If the limit does not exist, explain why.

Answer 1

This limit does not exist

Answer 2

Reason being that when we work with limits we can actually factor the function, in this case it comes out to: 2(x+6)/(x+6), The x+6 cancel out, and we are left with 2. The variable disappears, so x cannot approach anything, also the function becomes a constant function or a straight line.

Answer 3

the limit exixst its 2

Answer 4

the limit does not exist because the left limit does not equal the right limit
if we approach from the left then we have 2(x+6)/[-(x+6)]->-2
and
if we approach from the right then we have 2(x+6)/(x+6)->2

Answer 5

oops sorry doesnt exist..sorry i didnt compute the left side lol..

Answer 6

the graph looks like this

()_________________y=2
________________________ x axis
|
-6
y=-2----()

Answer 7

doesn't my graph look pretty?

Answer 8

sure

Answer 9

:)