Mathematics

Mathematics

Problem

Consider the series ∑n=1∞(1n−1n+1)\displaystyle\sum_{n=1}^{\infty}\left(\dfrac1n-\dfrac1{n+1}\right). Which of the following statements is true? a) The series converges, and its sum equals ln⁡2\ln 2.},{ b) The series diverges because it behaves like the harmonic series. c) The series converges, and its sum equals 11.},{ d) The series converges, and its sum equals 12\dfrac12.}],

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