OCR MEI Paper 3 2023 June — Question 14

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2023
SessionJune
TopicSequences and series, recurrence and convergence

14 Show that the expression given in line 33 simplifies to \(\sum _ { \mathrm { r } = 1 } ^ { \mathrm { n } } \frac { 1 } { \mathrm { r } } \approx \ln \mathrm { n } + \frac { 13 } { 24 } + \frac { 6 \mathrm { n } + 5 } { 12 \mathrm { n } ( \mathrm { n } + 1 ) }\), as given in line 34.