Question

Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 9 as x approaches 9 from the left.
A. -∞ ; x = -9
B. 1 ; no vertical asymptotes
C. ∞ ; x = -9
D. -∞ ; x = 9

Answer 1

Answer:

 the answer is c

Step-by-step explanation:

Answer 2

Answer:

D. -∞ ; x = 9

Step-by-step explanation:

$y=\frac{1}{x-9}$

Table:

x        |        y

8       |        -1

8.5    |        -2

8.8    |        -5

8.9    |       -10

8.95  |      -50

8.99  |     -100

8.999|   -1000

(Graph attached)

$lim \frac{1}{x-9}\\_{x->9^-}$   =-∞

x=9 is the vertical asymptote

Hope this helps!