Question
Find the given limit, or state that it does not exist.$$\lim _{x \rightarrow 0^{+}} \frac{(x+2 \sqrt{\sin x})^{2}}{x}$$
Step 1
We can do this by expanding the numerator of the fraction: $$ (x+2 \sqrt{\sin x})^{2} = x^{2} + 4x\sqrt{\sin x} + 4\sin x $$ Show more…
Show all steps
Your feedback will help us improve your experience
Carson Merrill and 75 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
, find the limit or state that it does not exist. $$ \lim _{x \rightarrow 0} \frac{x \sin 2 x}{\sin \left(x^{2}\right)} $$
Limits
Introduction to Limits
Find the given limit, or state that it does not exist. $$ \lim _{x \rightarrow 0} \frac{4 x^{2}-2 \sin x}{x} $$
Limit of a Function
Trigonometric Limits
Find the limit. $$\lim _{x \rightarrow 0^{+}} \frac{\sin x}{x^{2}}$$
Logarithmic and Exponential Functions
LiHópital's Rule; Indeterminate Forms
Transcript
600,000+
Students learning Calculus with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
