all other integers (e.g., 1 = 1 {\displaystyle 1=1} ; 2 = 1 + 1 {\displaystyle 2=1+1} ; 3 = 1 + 1 + 1 {\displaystyle 3=1+1+1} etc.). The product of 0 numbers...

when added to 1 gives 0. Now, using the distributive law, it can be seen that 0 = −1 ⋅ [1 + (−1)] = −1 ⋅ 1 + (−1) ⋅ (−1) = −1 + (−1) ⋅ (−1). The third equality...

mathematics, 1 + 1 + 1 + 1 + ⋯, also written ∑ n = 1 ∞ n 0 {\displaystyle \sum _{n=1}^{\infty }n^{0}} , ∑ n = 1 ∞ 1 n {\displaystyle \sum _{n=1}^{\infty }1^{n}}...

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