Find the sum of the convergent series $$\(\sum_{i=1}^{\infty}\left(\frac{1}{i}-\frac{1}{i+2}\right)\)$$.

A.
\(\frac{3}{2}\)
B.
1
C.
2
D.
\(\frac{5}{3}\)
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set 2 Year:2024 Question No:APCalculus2024AP0725

Answer:

A

Knowledge points:

10.6 Comparison Tests for Convergence
10.9 Determining Absolute or Conditional Convergence

Solution:

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