MA 125-06
§4.2-4.5 Quiz #7 score
Name:
10 November 2000
1. Let f(x) =ln(x2+2)be defined on the interval [−2,3]. Find all relative extrema of f
and find the extreme values for fon the interval. Also, determine the exact values of the
critical points and intervals of concavity. Sketch the graph of fand label all the important
points. (10 points)
2. Evaluate (and show your work) lim
x→0
ex−x−1
1+x2−cos x.(5 points)
3. Evaluate (and show your work) lim
x→∞ xln(1−1/x).(5 points)