Question

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (8 points)

Answer 1

Answer:

Step-by-step explanation:

Given is a function as 1 divided by the quantity x minus 10 squared

Mathematically translating we get

the function

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

Since the function become undefined at x=10 we get

vertical asymptote is

x=10

Limit x tends to 10 of f(x) will exist since both limits are equal

This is because let x tends to 0 from left.

Then we have

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

Right limit also will be +infinity

This is because the curve is symmetrical about x=10 and hence limit would be +infinity.

Answer 2

Graphing it @ https://www.desmos.com/calculator , we get that f(x) clearly approaches inf at x=10 and a vertical asymptote is clearly 10