MAT136H1 Study Guide - Midterm Guide: Integral Test For Convergence

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #5 (medium): finding the missing value to make the series convergent. The series is convergent when the function inside the series summation is less than . This means p needs to be selected so to make the function diverge in the denominator. Some functions obviously fail the integral test for certain values. So start out by eliminating all possible values that fails the integral test. Find the values of p for which the series is convergent. [ ( )] is continuous and positive but is not decreasing over [ )