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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\lim_{x \rightarrow 10}\frac{ \left| x \right| }{ x }\]
what is the limit from the left? what is the limit from the right?
1 and -1. I thought the limit didn't exist but that was wrong.

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it is not 1 and -1 tho, x=10 is rather far away from the 'vertex'
is the function continuous at x=10?
|dw:1441405357951:dw| Is this piecewise function wrong? that's how I simplify that function
and i'm not sure if it's continuous
your function definition is fine as is now read carefully, what is your x approaching? you have x to 10 posted.
yes that's correct.
WAIT is the limit 1?
|dw:1441405531048:dw|
yes
okay, thanks! I understand.
good luck

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