Question
Use I'Hôpital's rule to find the limits$$\lim _{\theta \rightarrow 0} \frac{(1 / 2)^{\theta}-1}{\theta}$$
Step 1
Step 1: We can rewrite the given limit as follows: $$\lim _{\theta \rightarrow 0} \frac{(1 / 2)^{\theta}-1}{\theta} = \lim _{\theta \rightarrow 0} \frac{e^{\theta \ln(1/2)}-1}{\theta}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Ahmed Ibrahim and 100 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
Use I'Hôpital's rule to find the limits. $$\lim _{\theta \rightarrow 0} \frac{\cos \theta-1}{e^{\theta}-\theta-1}$$
Applications of Derivatives
Indeterminate Forms and L’Hôpital’s Rule
Use I'Hópital's rule to find the limits. $$\lim _{\theta \rightarrow 0} \frac{\cos \theta-1}{e^{t}-\theta-1}$$
Indeterminate Forms and L'Hôpital's Rule
Use I'Hópital's rule to find the limits. $$\lim _{\theta \rightarrow 0} \frac{(1 / 2)^{6}-1}{\theta}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD