Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Illustrate l'Hospital's Rule by graphing both $ f(x)/g(x) $ and $ f'(x)/g'(x) $ near $ x = 0 $ to see that these ratios have the same limit as $ x \to 0 $. Also, calculate the exact value of the limit.
$ f(x) = e^x - 1 $, $ g(x) = x^3 + 4x $
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Official textbook answer
Video by Carson Merrill
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 1 / AB
Calculus 2 / BC
Applications of Differentiation
Indeterminate Forms and l'Hospital's Rule
Oregon State University
University of Nottingham
In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.
A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
Find the limit. Use l'…
Estimate the limit graphic…
Determine each limit. Refe…
mhm. This problem we're going to be looking at the graph as edX -1. Okay. Divided by X cubed. That's four X. So this is the graph we get um and then that's fx and gx but then F prime of X is going to be needy. X and G prime of X is going to be three X squared plus four. Um So going back, if we autographed separately, we have each of the acts divided by three X squared response for what we see. Is that the green curve? Um If we zoom in both curves approached the same number at X equal to zero And that value appears to be .25. Um And if we calculate the limit we see that that in fact is the case Because when we plug in zero here we get one over four Us, that would be .25.
View More Answers From This Book
Find Another Textbook
Kim's black kitten weights 175 grams. Her gray kitten weights 43 grams …
Marge runs an ice cream parlor. Her specialty is triple chocolate sundaes. S…
a closed rectangular tank measures 12 meters by 6 meters by 10 meters. Find …
Mrs. Long keeps a garden in her backyard. The garden is in the shape of a re…
A boat travels 30 miles upstream in 5 hours. The return trip downstream take…
Write the fraction 5/16 as a decimal.
The cooler is filled with different juices there are 24 bottles of juice six…
The formula for the area of a circle is A = r 2. Classify the area of a circ…
The diameter of a circle is 20 miles. What is the angle measure of an arc bo…
PLZ HELP WILL GIVE BRAINLIEST!!! AND 20 POINTS!!!!!!!!!!!Frank opens sev…