Question

3. $\lim_{n\to\infty} \frac{\sqrt{n^4 - 2n^2 + 5} - \sqrt{n^4 - 4n^3}}{2n}$ 4. $\lim_{n\to\infty} \sqrt{n + \frac{n^3}{3n} + \frac{n^5}{5n}}$ (use squeeze rule)

          3. $\lim_{n\to\infty} \frac{\sqrt{n^4 - 2n^2 + 5} - \sqrt{n^4 - 4n^3}}{2n}$

4. $\lim_{n\to\infty} \sqrt{n + \frac{n^3}{3n} + \frac{n^5}{5n}}$ (use squeeze rule)

3. limn→∞(√(n^4 - 2n^2 + 5) - √(n^4 - 4n^3))/(2n)

4. limn→∞√(n + (n^3)/(3n) + (n^5)/(5n)) (use squeeze rule)

Added by Rodrigo G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sam Stansfield

10/15/2023

Step 1

$$\lim_{n \to \infty} \frac{\sqrt{n^4 - 2n^2 + 5} - \sqrt{n^4 - 4n^3}}{2n} * \frac{\sqrt{n^4 - 2n^2 + 5} + \sqrt{n^4 - 4n^3}}{\sqrt{n^4 - 2n^2 + 5} + \sqrt{n^4 - 4n^3}}$$ Show more…

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3. $$\lim_{n \to \infty} \frac{\sqrt{n^4 - 2n^2 + 5} - \sqrt{n^4 - 4n^3}}{2n}$$ 4. $$\lim_{n \to \infty} \sqrt[n]{n + \frac{n^3}{3n} + \frac{n^5}{5n}}$$ (use squeeze rule)