Question
Evaluate the following limits.$$\lim _{x \rightarrow 0^{+}} x^{1 /(1+\ln x)}$$
Step 1
So, we have $$x^{1 /(1+\ln x)} = e^{\frac{1}{1+\ln x} \ln x}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Sriram Soundarrajan and 64 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. $$\lim _{x \rightarrow 1} \frac{x \ln x-x+1}{x \ln ^{2} x}$$
Applications of the Derivative
L'HĂ´pital's Rule
Find the limits $$\lim _{x \rightarrow 0^{+}} x^{-1 / \ln x}$$
Applications of Derivatives
Indeterminate Forms and L’Hôpital’s Rule
Find the limits. $$ \lim _{x \rightarrow 0^{+}} \frac{1-\ln x}{e^{1 / x}} $$
TOPICS IN DIFFERENTIATION
L Hopital's Rule; Indeterminate Forms
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD