8. Which equalities in the following set of six equalities are false? Why ? 0 = 0+0+0+... (1 - 1) + (1-1) +(1 -1) + .. . = 1-1+1-1+1-1+ ... = 1+ (-1+1)+(-1+1) +(-1+1) .. . = 1 +0 +0+0+... = Hint: Think about the partial sums for each of these series. Remark: 0 = 1 is sometimes called "the fundamental contradiction of mathematics"