a roller coaster can take 24 riders in a single trip. 72 people went through the line to ride the roller coaster. how many trips
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We are given:
And we want to evaluate it using L'Hopital's Rule.
First, using direct substitution, we will acquire:
Which is indeterminate.
In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:
By taking the natural log of both sides:
And by taking the limit as x approaches 1 from the right of both functions:
Rewrite:
Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:
Simplify:
Simplify:
Now, by using direct substitution, we will acquire:
Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:
Finally, direct substitution yields:
Thus:
By the Composite Function Property for limits:
Raising both sides to e produces:
Therefore:
Substitution: