![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f0bd3fe23d93534e80dc9d59f9e8ac22.png\")
. \
Step 1 :
\The function is .
The average rate of change of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9ad7b3445df115c1a39fd485becb045a.png\")
from 0 to x is
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=76236b46c93a90be489be28b39d0fce6.png\")
The average rate of change is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b73407d2d4674249271d20cc875e27e1.png\")
The limit of the average rate of change is
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d4e5b485b5b3d0ea773178b40c7a67ac.png\")
Substitute the limit.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8949d08307ab34cd722df6fe882eae4b.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=40bd0b42501bc5838c797b8785898870.png\")
The limit as x approaches 0 of the average rate of change is 0.
\Solution :
\The limit as x approaches 0 of the average rate of change is 0.