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

the answer is c

Explanation:

Answer 2

D. -∞ ; x = 9

Explanation:

`y=(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 (1)/(x-9)\\_(x->9^-)` =-∞

x=9 is the vertical asymptote

Hope this helps!