Question

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

Answer 1

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

Answer 2

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

Answer 3

For th elimit to exist at 10, both the left and right limits (from the + and the -) have to go to th esame value....