Question

Limit problem. If someone could just explain how I should go about problem 10. Do I just do two separate limits since we're given both?

Answer 1

first notice that at c = 2, the function is not defined.

Answer 2

okay agree with that

Answer 3

but when it's coming from the left and right is my problem. i get that it does not exist at 2

Answer 4

yea, first evaluate it coming from left.

Answer 5

next evaluate it coming from right.

Answer 6

if both are equal, then the limit exists.s

Answer 7

if you get different values for left and right limits, the limit doesnt exist.

Answer 8

okay so do i plug in the number to both given equations?

Answer 9

yes

Answer 10

okay so for the one coming from the left it would be?

Answer 11

Yes, they're not equal. So limit doesn't exist.

Answer 12

but according to my answer key it is 1

Answer 13

look at the key carefully. it says, left limit = '1', right limit = '2', limit 'Does not exist'.

Answer 14

thats exactly wat u got aswell

Answer 15

ohhh you only are able to use one of the given equations because of the x<2 and x>2 ahhh just realized that. thanks!

Answer 16

wat oly one of the given equations.... ? dint get u....

Answer 17

i get it now. i see my mistake. i may have not explained it well to you but i understand

Answer 18

ha i understand np :) just double checking if you're saying something lol :D