Joe gave the following argument: Since lim x→0 0 = 0,
(A) and since 0 = - 1 x + 1 x,
(B) we know that lim x→0 (-1 x + 1 x) = 0.
(C) But then, since lim x→0 (-1 x + 1 x) = lim x→0 (-1 x) + lim x→0 (1 x),
(D) we can say that lim x→0 (-1 x) + lim x→0 (1 x) = 0, which means that lim x→0 (-1 x) = - lim x→0 (1 x).
(E) no error
In which line, if any, has joe made an error?
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