## anonymous one year ago 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

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1. DanJS

$f(x) = \frac{ 1 }{ (x-10)^2 }$

2. 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

3. 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|

4. DanJS

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