Changed limit of x^{\sin x} to a one-sided limit; other minor changes

(changed 2.718 to E() and "all" to "both")

Author: paulvojta

OpenProblemLibrary/Utah/Calculus_II/set6_Indeterminate_Forms_and_Improper_Integrals/set6_pr15.pg

@@ -25,10 +25,11 @@ loadMacros(
 
 TEXT(beginproblem());
 $showPartialCorrectAnswers = 1;
-$e = 2.718;
+$e = E();
 
 TEXT(EV2(<<EOT));
-In all these problems, write I if the limit is either \(+\infty \) or \(-\infty \).
+In both of these problems, write I if the limit is either \(+\infty \)
+or \(-\infty \).
 $PAR
 Find the following limits:
 $PAR
@@ -37,7 +38,7 @@ $BR
 \{ans_rule(40)\}.
 $PAR
 
-(b) \( \lim_{x\rightarrow 0} x^{\sin(x)} =  \)
+(b) \( \lim_{x\rightarrow 0^{+}} x^{\sin(x)} =  \)
 $BR \{ans_rule(40)\}.
 $PAR