anonymous
  • anonymous
Use graphs and tables to find the limit and identify any vertical asymptotes the function. limit of 1 divided by the quantity x minus 10 squared as x approaches 10
Mathematics
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katieb
  • katieb
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DanJS
  • DanJS
\[f(x) = \frac{ 1 }{ (x-10)^2 }\]
DanJS
  • DanJS
notice as x goes closer to 10, the denominator becomes smaller and smaller 1 over a smaller and smaller number will blow up to infinity The quantity is squared, so it will always be positive
DanJS
  • DanJS
For th elimit to exist at 10, both the left and right limits (from the + and the -) have to go to th esame value....|dw:1441145191767:dw|

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DanJS
  • DanJS
make a table of values close to x=10 and show the numbers blow up huge from both sides of 10

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