Question

>>>>>>>>> Use graphs and tables to find the limit and identify any vertical asymptotes of the function. limit of 1 divided by the quantity x minus 10 as x approaches 10 from the left

Answer 1

Answer:

Step-by-step explanation:

as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.

Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.

let's assign some values to x that are smaller than 10.

1. x=9

1/(9-10)= -1

a negative value

2. x=8

1/(8-10)= -1/2

a negative value

let try a reallu colse value to 10 like 9.99

1/(9.99-10)=-100

a negative value

so we can deduce that the limit is -∞

lim     [1/(x-10)]=-∞

x→10-