Question

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (8 points)
limit of 1 divided by the quantity x minus 10 squared as x approaches 10


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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

It should be noted that the vertical asymptote of the function will be 10.

What is vertical asymptote?

Vertical asymptote simply means the vertical line that guides the graph of a function.

In this case, the function is that 1 is divided by the quantity x minus 10 squared. Therefore, the function becomes undefined at x = 10.

In conclusion, the correct option is 10.

Learn more about vertical asymptote on:

https://brainly.com/question/4138300