Question

Use the given graph to determine the limit, if it exists.

Answer 1

Find \[\lim_{x \rightarrow 3^{-}}\]

Answer 2

step 1) locate x = 3 on the x axis

step 2) go to the left of 3, say to x = 1 or x = 0

step 3) draw a vertical line through this x value and find where it crosses the graph. Mark this point as point A

step 4) imagine point A can slide along the graph. Slide A closer and closer so that the x coordinate of point A gets close to 3


question: as x gets closer to 3, what is the y coordinate of point A getting closer to?

Answer 3

-3....?

Answer 4

do you see where the hole is at x = 3 ? the top hole

Answer 5

yes.

Answer 6

ok get closer to the hole from the left side

what does y get closer and closer to?

put another way: what is the y coordinate of that hole?

Answer 7

7

Answer 8

@jim_thompson5910