TY - JOUR
T1 - Relaxing the integral test
T2 - A challenge for the advanced calculus student
AU - Carter, Paul
AU - Solomon, Yitzchak Elchanan
PY - 2017/9/1
Y1 - 2017/9/1
N2 - Illustrative, elementary counterexamples are hard to come by. In this note we propose an elementary, closed-form counterexample to a generalization of the classic integral test where the condition of monotonicity is relaxed. The analysis only uses techniques accessible to a second-semester calculus student.
AB - Illustrative, elementary counterexamples are hard to come by. In this note we propose an elementary, closed-form counterexample to a generalization of the classic integral test where the condition of monotonicity is relaxed. The analysis only uses techniques accessible to a second-semester calculus student.
UR - http://www.scopus.com/inward/record.url?scp=85033455174&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85033455174&partnerID=8YFLogxK
U2 - 10.4169/college.math.j.48.4.290
DO - 10.4169/college.math.j.48.4.290
M3 - Article
AN - SCOPUS:85033455174
SN - 0746-8342
VL - 48
SP - 290
EP - 291
JO - College Mathematics Journal
JF - College Mathematics Journal
IS - 4
ER -