Question

Find the indicated limit, if it exists.

Answer 1

@bloopman

Answer 2

There are two limits, depending on whether you approach x=0
from x>0 or from x<0.

Answer 3

@douglaswinslowcooper, the question is asking for the pure limit. shhh.
remember how i taught you to solve this graphically?

Answer 4

Yeah, but how do I graph an absolute value? Do I just make it positive?

Answer 5

indeed. you evaluate the internal expression, then just make it positive

Answer 6

Remember, you just find limit from both sides. If it is same limit, then that's the answer, if not, then there is no limit.

Answer 7

shhh geerky you're stealin' my thunder.

Answer 8

haha

Answer 9

So do I plug in 0?

Answer 10

Yeah, plug in 0 for both side. Or you can just do bloopman's way and graph it.

Answer 11

So it's 4 and -8

Answer 12

That means it doesn't exist, right?

Answer 13

indeed. sorry i was afk