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Answer:
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.
