Question

Find the indicated limit, if it exists.

limit of f of x as x approaches negative 1 where f of x equals 4 minus x when x is less than negative 1, 5 when x equals negative 1, and x plus 6 when x is greater than negative 1

Answer 1

@phi

Answer 2

lol can you format it?

Answer 3

can you use the equation editor to rewrite that?

Answer 4

There is the question if that's ok

Answer 5

@phi where you at tho

Answer 6

to have a limit you want to get the same number as you approach x=-1 from below or from above.

when x < -1 we use the first expression 4- x
as x gets closer to -1 we get close to 4 -(-1) = 4+1 =5

Answer 7

so the limit is 5?

Answer 8

you also have to get 5 when x > -1 and you get closer to -1
so use the expression x+6 when x>-1
as x gets close to -1, what does x+6 get close to?

Answer 9

5

Answer 10

we get the same number from "above" and from "below" so we have a limit
it is 5
(notice the middle expression 5 for x=-1 does not really matter)

Answer 11

cool can you help with one more?