Horizontal & Vertical Asymptotes...1

[nycmathguy]

Calculus
Section 2.6

How about 52? Please include the graph as well as the algebra work.

 

[MathLover1]

52.
Asymptotes of

Vertical:

find x that makes e^x-5=0
e^x=5
ln(e^x)=ln(5)
x*ln(e)=ln(5).....ln(e)=1
x=ln (5)

Horizontal:

so, horizontal asymptotes are:
y=2, y=0

 

[nycmathguy]

52.
Asymptotes of View attachment 3296

Vertical:

find x that makes e^x-5=0
e^x=5
ln(e^x)=ln(5)
x*ln(e)=ln(5).....ln(e)=1
x=ln (5)

Horizontal:
View attachment 3294
View attachment 3295

so, horizontal asymptotes are:
y=2, y=0

View attachment 3297

Beautiful done! Bravo!