Dividing by zero

[little_monkey]

I was with you right up to the word "simple".

Taking limits is a concept invented in the 17th century. By now, it's really kindergarten stuff compared to complex integration and Residue theory.

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So: x*(x+1)/x = (x+1), then when x approaches zero (x+1) approaches 1

That's totally wrong.

x*(x+1)/x approaches 1, if and only if x is NOT zero. At x=0, that algebraic fraction is infinite.