Question
$$\left.\lim _{x \rightarrow \infty} \frac{\sqrt{3 x^{2}-1}-\sqrt{2 x^{2}-1}}{4 x+3} \text { . Ans. } \frac{\sqrt{3}-\sqrt{2}}{4}\right\}$$
Step 1
This gives us: $$ \lim _{x \rightarrow \infty} \frac{\sqrt{3 -\frac{1}{x^{2}}}-\sqrt{2 -\frac{1}{x^{2}}}}{4 +\frac{3}{x}} $$ Show more…
Show all steps
Your feedback will help us improve your experience
Anurag Kumar and 98 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
$$ \lim _{x \rightarrow \sqrt{3}} \frac{x^{2}-3}{x^{4}+x^{2}+1}\{\text { Ans. } 0\} $$
$$ \left.\lim _{x \rightarrow 1} \frac{\sqrt[3]{x}-1}{\sqrt[4]{x}-1} \text { \{Ans. } \frac{4}{3}\right\} $$
$$ \lim _{x \rightarrow 1}\left(\frac{1+x}{2+x}\right)^{\frac{1-\sqrt{x}}{\{-x}} \quad\left\{\text { Ans. } \sqrt{\frac{2}{3}}\right\} $$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD