Question

PLEASE HELP WILL GIVE A MEDAL
Find the limit of the function by using direct substitution.

Answer 1

@xapproachesinfinity

Answer 2

Please compute the left limit and right limit first

Answer 3

plug in 9 for x, into x+9, that would be the left side of the limit.
and 9 for x into 27-x, that would be the right side of the limit.

Answer 4

if the sides are not equivalent the limit doesn't exist.

Answer 5

what do you get for left and right sides?

Answer 6

oh i got it 18 for both?

Answer 7

Yes.

Answer 8

do you mind helping me with another one that's kind of similar?

Answer 9

=18, not 9.

Answer 10

what do you do when it gives you three equations instead of 2?

Answer 11

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~9^+}f(x)=18}\)

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~9^-}f(x)=18}\)

Answer 12

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~9}f(x)=18}\)

Answer 13

if left and right sided limits approach 18, as x approaches 9 from both sides, then

\(\large\color{slate}{\displaystyle\lim_{x \rightarrow ~9}f(x)=18}\) .

(and that is the case here, the 2 sides of the limit are equivalent to 18)

Answer 14

questions?