Consider the following calculations. Proposed calculations: 1. 0=0+0+0+⋯ 2. =(1−1)+(1−1)+(1−1)+⋯ 3. =1−1+1−1+1−1+⋯ 4. =1
Posted: Thu Jul 14, 2022 4:34 pm
Consider the following calculations. Proposed calculations: 1. 0=0+0+0+⋯ 2. =(1−1)+(1−1)+(1−1)+⋯ 3. =1−1+1−1+1−1+⋯ 4. =1+(−1+1)+(−1+1)+(−1+1)+⋯ 5. =1+0+0+0+⋯=1 Identify the error(s) in the calculation. (Select all that apply.) The series 1−1+1−1+1−1+… is an arithmetic series with d=−1, which diverges. 0 cannot be represented as an infinite series. The series 1−1+1−1+1−1+⋯ is a geometric series with r=−1, which diverges. (1−1) is not equal to (−1+1).