Question
Limits Evaluate the following limits. Use l'Hópital's Rule when it is comvenient and applicable.$$\lim _{x \rightarrow 0} \frac{e^{x}-1}{x^{2}+3 x}$$
Step 1
If we do that, we get $\frac{e^{0}-1}{0^{2}+3*0} = \frac{1-1}{0} = \frac{0}{0}$, which is an indeterminate form. Therefore, we can use l'Hopital's Rule. Show more…
Show all steps
Your feedback will help us improve your experience
Deeksha Gautam and 96 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Evaluate the following limits using $l$ Hópital's Rule. $$\lim _{x \rightarrow 0} \frac{e^{x}-1}{x^{2}+3 x}$$
Applications of the Derivative
L’Hôpital’s Rule
Limits Evaluate the following limits. Use l'Hópital's Rule when it is comvenient and applicable. $$\lim _{x \rightarrow 0^{+}} x^{2 x}$$
L'Hôpital's Rule
Limits Evaluate the following limits. Use l'Hópital's Rule when it is comvenient and applicable. $$\lim _{x \rightarrow-1} \frac{x^{4}+x^{3}+2 x+2}{x+1}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD