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 8 as x approaches 8 from the left

The line x = 8 is our vertical asymptote

The limit of as x approaches 8 from the left is negative infinity; -∞

Step-by-step explanation:

We have been given the following function;

Considering that the function is rational, it will defined everywhere on the real line except where the expression in the denominator will be 0;

That is the function will not be defined where;

x - 8 = 0

solving for x yields;

x = 8

The function will be approaching the vertical line x = 8 asymptotically, meaning that the function will never touch or cross this line. We can therefore say that,

The line x = 8 is our vertical asymptote for the given function

The limit of as x approaches 8 from the left;

For x approaching 8 from the left, which implies that

The denominator will be a negative quantity approaching 0 from the left, that is -∞.

Thus;

= -∞

Find the graph attached.

the answer is 99.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)