## clara1223 one year ago find the limit as x approaches 10 of abs(x)/x

1. clara1223

$\lim_{x \rightarrow 10}\frac{ \left| x \right| }{ x }$

2. amistre64

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

3. clara1223

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

4. amistre64

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

5. amistre64

is the function continuous at x=10?

6. clara1223

|dw:1441405357951:dw| Is this piecewise function wrong? that's how I simplify that function

7. clara1223

and i'm not sure if it's continuous

8. amistre64

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

9. clara1223

yes that's correct.

10. clara1223

WAIT is the limit 1?

11. amistre64

|dw:1441405531048:dw|

12. amistre64

yes

13. clara1223

okay, thanks! I understand.

14. amistre64

good luck

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