Question

Find the indicated limit, if it exists.

limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less than 9 and f of x equals 9 minus x when x is greater than or equal to 9

The answers are:
18
0
9
The limit does not exist.

I think the limit is 18. Am I right?

Answer 1

\[\lim_{x \rightarrow 9-}(x+9) \\ \lim_{x \rightarrow 9^+}(9-x)\]?

Answer 2

This is how it looks

Answer 3

oh ok

Answer 4

we you need to find left and right limit

Answer 5

that is plug in 9 for both functions on the sides of x=9

Answer 6

if they equal, the the limit exist

Answer 7

correct

Answer 8

if they don't equal, then the limit doesn't exist

Answer 9

9 + 9 = 18
27 - 9 = 18

So the limit is 18?
@freckles

Answer 10

sounds fab

Answer 11

Could you help with another?

Answer 12

Thank you by the way!

Answer 13

sure what is it

Answer 14

The answers are 1.3
-1
4
5

I think it's 1.3. Is that right?

Answer 15

Find limit as x approaches two from the left of f of x.

Answer 16

so you are saying 1.3 because it looks like that hols is above y=1

Answer 17

and yes that looks about right then

Answer 18

gj

Answer 19

Basically.

Answer 20

yeah basically we are only curious about the left hand side of x=2
(and also we don't even care what happens at x=2)