Question 3 - A-Level Maths

Exam Board	OCR
Module	Further Pure Core 2 (Further Pure Core 2)
Year	2017
Session	Specimen
Topic	Sequences and series, recurrence and convergence

Find \(\sum _ { r = 1 } ^ { n } \left( \frac { 1 } { r } - \frac { 1 } { r + 2 } \right)\).
What does the sum in part (i) tend to as \(n \rightarrow \infty\) ? Justify your answer.