Question

Find the indicated limit, if it exists.

Answer 1

-7 right?

Answer 2

i just got -9, that mesed me up

Answer 3

what happens when x = 0 for each piece?

Answer 4

what do you mean?

Answer 5

when x = 0, 5x - 9 = ???

Answer 6

-9

Answer 7

same question for the second piece

Answer 8

2

Answer 9

you have a jump discontinuity at x = 0

so the limit doesn't exist at x = 0

Answer 10

you need to have LHL = RHL true

LHL is the left hand limit
RHL is the right hand limit

Answer 11

this is the exact same thing as last time:)

Answer 12

so the limit does exist ?

Answer 13

does NOT exist

Answer 14

thanks!

Answer 15

you've just shown that

LHL = -9
RHL = 2

So LHL = RHL isn't true, so the limit doesn't exist at x = 0

Answer 16

ohh gotcha ! (: