Question

Find the limit as x approaches 3. (Problem is typed out as a comment)

Answer 1

look at the first piece and plug in x = 3

what do you get?

Answer 2

ln3?

Answer 3

now do the same for the second piece

Answer 4

9ln3?

Answer 5

the left hand limit is ln(3)


the right hand limit is 9*ln(3)


clearly they are NOT equal, so the limit as x--> 3 does NOT exist

Answer 6

oh wow! Okay, I did that right. THank you

Answer 7

a graph of all this may help show why this is true

Answer 8

you're welcome