Question

Limit's question attached, I got some of it but have questions for the rest

Answer 1

oh, it's really hard to see :/

Answer 2

i don't understand d \[\lim_{x \rightarrow -1} f(x) = \]

Answer 3

Looks about 2.8 or 2.9.

Answer 4

oh so the whole maters

Answer 5

but e f(1) .. how come that would just equal two?

Answer 6

Yes, that hole means the function never actually hits that value, which is essentially the def. of the limit. As for f(1). It does equal two because it is not asking for the limit at that value. Therefor, the solid dot trumps the hollow one, making the value 2. If that makes sense.

Answer 7

ohh okay i think it does ?

Answer 8

Just remember when we are not asked about the limit, we are concerned about the actual value that the function hits at that point. When the limit is the question, we check for the value that the function approaches, but essentially doesn't touch. And remember, the limit can only exist if the the left and right handed limits are the same!

Answer 9

thankyou very much ! :)

Answer 10

No problem :)