MHB What is the Limit of (5x)/(100 - x) as x Approaches 100 from the Left?

[nycmathdad]

Find the limit of (5x)/(100 - x) as x tends to 100 from the left side.

The side condition given: 0 <= x < 100

To create a table, I must select values of x slightly less than 100.
I did that and ended up with negative infinity as the answer. The textbook answer is positive infinity.

Can you please use Desmos to show the graph? This will allow me to find the limit from the graph of the function.

 

[jonah1]

Beer soaked ramblings follow.

...
Can you please use Desmos to show the graph? This will allow me to find the limit from the graph of the function.

Sure thing laddie.
Problem 1.5.77.
https://www.desmos.com/calculator/ojcgjmr8t6

 

[jonah1]

Beer soaked query follows.

...
To create a table, I must select values of x slightly less than 100.
I did that and ended up with negative infinity as the answer. The textbook answer is positive infinity.
...

Can you show how you did something so seemingly impossible?

 

[HOI]

For x close to 100 but close to 100, 100- x is close to 0 and positive while 5x is positive. Look at your table again!

 

[nycmathdad]

For x close to 100 but close to 100, 100- x is close to 0 and positive while 5x is positive. Look at your table again!

I got to stop rushing through questions.