Question

Use the graph to determine each limit.

Answer 1

i) \[\lim_{x \rightarrow 2^{-}} f(x)\]
ii) \[\lim_{x \rightarrow 2^{+}} f(x)\]
iii) \[\lim_{x \rightarrow 2} f(x)\]
iv) \[\lim_{x \rightarrow 2^{-}} f(x)\]
v) \[\lim_{x \rightarrow 0^{+}} f(x)\]
vi) \[\lim_{x \rightarrow 0} f(x)\]

Answer 2

ERRATA:
iv) \[\lim_{x \rightarrow 0^{-}} f(x)\]

Answer 3

lets call the left graph "f(x)" and the right graph
"g(x)" that way we can tell what were talking about....
now are we supposed to take the specified limit as it pertains to both graphs individually?

Answer 4

we must answer all for each graph.

Answer 5

so the limits are 2 from the right, 2 from the left, 0 from the right, 0 from the left, and at 0 and at 2..if I read this correctly

Answer 6

Yes, that's correct.

Answer 7

a = f(x) lim{2+} = +infinity; lim{2-} = -infinity; lim{2} = not exist.

Answer 8

a = f(x) lim{0+} = 0; lim{0+} is undefined, no graph there; lim{0} = 0 maybe...but hard to tell since the 0- is gone....

Answer 9

you mean, lim{0-} is undefined, right?

Answer 10

umm.... yeah, thats what I meant :)

Answer 11

ohh! thanks! I do not know how to define it. let's b.

Answer 12

b=g(x) lim{2+} = -1; lim{2+} =-1 ; lim{2} = -1

lim{0+}=1; lim{0-}=undefined; lim{0}=1 I would assume since it is a solid "dot"

Answer 13

did it again didnt i....lim{2-} = -1

Answer 14

haha. np. btw, thanks!

Answer 15

youre welcome :)