clara1223
  • clara1223
find the limit as x approaches 10 of abs(x)/x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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clara1223
  • clara1223
\[\lim_{x \rightarrow 10}\frac{ \left| x \right| }{ x }\]
amistre64
  • amistre64
what is the limit from the left? what is the limit from the right?
clara1223
  • clara1223
1 and -1. I thought the limit didn't exist but that was wrong.

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amistre64
  • amistre64
it is not 1 and -1 tho, x=10 is rather far away from the 'vertex'
amistre64
  • amistre64
is the function continuous at x=10?
clara1223
  • clara1223
|dw:1441405357951:dw| Is this piecewise function wrong? that's how I simplify that function
clara1223
  • clara1223
and i'm not sure if it's continuous
amistre64
  • amistre64
your function definition is fine as is now read carefully, what is your x approaching? you have x to 10 posted.
clara1223
  • clara1223
yes that's correct.
clara1223
  • clara1223
WAIT is the limit 1?
amistre64
  • amistre64
|dw:1441405531048:dw|
amistre64
  • amistre64
yes
clara1223
  • clara1223
okay, thanks! I understand.
amistre64
  • amistre64
good luck

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