Question

Find the indicated limit, if it exists.

limit of f of x as x approaches negative 8 where f of x equals x plus 9 when x is less than negative 8 and f of x equals negative seven minus x when x is greater than or equal to negative 8

Answer 1

@freckles

Answer 2

same question
you have to find the left and right limit

Answer 3

plug in -8 into both sides

Answer 4

The function that is to the left of the vertical line x=-8 is x+9.
The function that is to the right of the vertical line x=-8 is -7-x.

Answer 5

So would the function be 1? @freckles

Answer 6

you mean the limit?

Answer 7

-8+9=1
-7-(-8)=-7+8=1
yes both limits are 1
that means the actual limit is 1

Answer 8

Ok thanks so much! @freckles

Answer 9

np