Question

find the limit as x approaches 10 of abs(x)/x

Answer 1

\[\lim_{x \rightarrow 10}\frac{ \left| x \right| }{ x }\]

Answer 2

what is the limit from the left? what is the limit from the right?

Answer 3

1 and -1. I thought the limit didn't exist but that was wrong.

Answer 4

it is not 1 and -1 tho, x=10 is rather far away from the 'vertex'

Answer 5

is the function continuous at x=10?

Answer 6

Is this piecewise function wrong? that's how I simplify that function

Answer 7

and i'm not sure if it's continuous

Answer 8

your function definition is fine as is

now read carefully, what is your x approaching? you have x to 10 posted.

Answer 9

yes that's correct.

Answer 10

WAIT is the limit 1?