Question

One Sided Limits; I missed this class and this was the handout I got as a note. I'm not just looking for answers, I would like someone to explain this to me please

Answer 1

Dude, I have two sets of resources for you that will solve your calculus problems forever.

Answer 2

yesss please :)

Answer 3

http://www.hippocampus.org/Calculus%20%26%20Advanced%20Math;jsessionid=F3DC1FB0FFD43D1ACAF22E1681467772

http://online.math.uh.edu/Math1431/

Have fun bro

Answer 4

Thanks :D

Answer 5

@nincompoop can you help me with \[\lim_{x \rightarrow -9^{-}}\]

Answer 6

Of what function, @burhan101 ? or do you just want an interpretation of what that means?

Answer 7

there's a picture attached

Answer 8

according to the graph at the bottom of the picture :)

Answer 9

the answer is -5, but i don't see how

Answer 10

Ok, \[\large \lim_{x \rightarrow -9^-}\]
Means to approach -9 from the left.

Answer 11

yes

Answer 12

Coming from the left, you slide down that ramp and end at the closed circle down at y=-5

Answer 13

yess but why? i mean there isn't a function there

Answer 14

Huh?, yes there is.

Answer 15

i mean like there's a gap

Answer 16

ohhhh nvm i see it haha :$

Answer 17

That's ok, you're stopping once you get there, you aren't going to fall off.

Answer 18

the line that is on the slope

Answer 19

\[\lim_{x \rightarrow \infty} f(x)=?\]

Answer 20

Yes, coming from the left, you're on the function y=(-5/3)(x+12)

Answer 21

That's the limit as x approaches infinity, so what is the long-term behavior if you keep following f(x) to the right for a very very very long time?

Answer 22

is x oly approaching infinity from the bottom right curve

Answer 23

only*

Answer 24

then it would be =0

Answer 25

Yep. That's all that's going on there.

Answer 26

thanks:)