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Problem 13. (1 point) Find the following limits, using l'H\^opital's rule if appropriate $\lim_{x \to \infty} \frac{\arctan(x^5)}{x^8} =$ $\lim_{x \to 0^+} \sqrt[5]{x \ln(x)} =$ Note: You can earn partial credit on this problem. Problem 14. (1 point) Find the area of the surface obtained by rotating the curve from $x = 0$ to $x = 2$ about the $x$-axis. The area is ______ square units. $y = \sqrt{4x}$

          Problem 13.
(1 point) Find the following limits, using l'H\^opital's rule if appropriate
$\lim_{x \to \infty} \frac{\arctan(x^5)}{x^8} =$
$\lim_{x \to 0^+} \sqrt[5]{x \ln(x)} =$
Note: You can earn partial credit on this problem.
Problem 14.
(1 point) Find the area of the surface obtained by rotating the curve
from $x = 0$ to $x = 2$ about the $x$-axis.
The area is ______ square units.
$y = \sqrt{4x}$

Problem 13.
(1 point) Find the following limits, using l'Hôpital's rule if appropriate
limx →∞(arctan(x^5))/(x^8) =
limx → 0^+√(x ln(x)) =
Note: You can earn partial credit on this problem.
Problem 14.
(1 point) Find the area of the surface obtained by rotating the curve
from x = 0 to x = 2 about the x-axis.
The area is square units.
y = √(4x)

Added by Cristina M.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Problem 13. Find the following limits, using L'Hopital's rule if appropriate: lim arctan(x) as x approaches 7-8 lim ln(x) as x approaches 0 Note: You can earn partial credit on this problem. Problem 14. Find the area of the surface obtained by rotating the curve y = 4x from x = 0 to x = 2 about the x-axis. The area is in square units.