Question

Find the indicated limit, if it exists.

Answer 1

\[\lim_{x \rightarrow -8} f(x)= x+9, x<-8\]
\[-7-8, x \ge -8\]

Answer 2

@kirbykirby

Answer 3

Check if the limit is the same for both "branches"
-8 + 9 = 1
-7 -8 = -15

the left and right limits aren't equal, so the limit doesnt exist

Answer 4

Mind explaining how to find limits please?

Answer 5

plug in -8 wherever you see x

Answer 6

Thanks! :)

Answer 7

actually this makes me think about the previous problem.. i think you should check if the 2 branches where you had " < " and " > " in the previous problem give the same limit...

Answer 8

They both give 1
So the limit is 1?

Answer 9

@kirbykirby

Answer 10

yes

Answer 11

Thanks :)

Answer 12

SOrry it's sorta late.. always verify that both sided limits are equal :)