Question

One more: does it matter that the circle is black? The graph of f is shown below.
Give lim f (x)
x goes to 1

Answer 1

2

Answer 2

we don't care what happens at x=1
we are trying to see what f(x) approaches at we get close to 1 on the x-axis

Answer 3

ok, meaning as it gets close to, i.e. approaches

Answer 4

thanks

Answer 5

don't bother with the circle colors...as myininaya tells we only bother the approaching value.

Answer 6

you wanted to know what the black dot means it just means that f(1) exist

Answer 7

if the dot wasn't filled, then f(1) does not exist

Answer 8

ok, so open circle means that it isn;t a point on the line

Answer 9

thanks!

Answer 10

unfilled means
when we plug 1 into our function we do not get an output for that number

Answer 11

unless the function is defined somewhere else with a dot off the line

Answer 12

ok cool

Answer 13

would yo like me to show you an example