Question

Use the given graph to determine the limit, if it exists.
Can someone explain these to me?

Answer 1

where is the graph?

Answer 2

sorry you're a speed racer lol

Answer 3

find lim f(x) as x -> 3+

Answer 4

well the limit does not exist

Answer 5

how do you know?

Answer 6

because when u r aproaching to 3 by the left the function gets close to -1
and when u r aproaching to 3 by the right the function gets closer to -3
so the limit by both sides r diferent and this meants that the limit does not exist

Answer 7

Oh okay! Can you help me with one more where the limit does exist?

Answer 8

@julian25

Answer 9

yes i though u was writing it

Answer 10

find lim f(x) and lim f(x) as they approach 2- and 2+

Answer 11

when we r aproaching from the left (2-) the function gets closer to 3
when we r aproaching from the right (2+) the function gets closer to -2

Answer 12

thank you!