Recent content by Larry1

Division by zero is not allowed because it leads to absurdities. Example, 4\0 = k, then k x 0 = 4, then 0 = 4. Absurd agreed. How come then sqrt{-1} which also seems absurd is assigned the symbol i and all is well? I find it hard to accept that math is full of fine print. My gut still tells me...

Well maybe I should have considered asking in another group. But it was in high school algebra that I first asked the question and couldn't get an answer. Here is an example: 1/(1+x) = 1/x -1/x^2 +1/x^3-... When x = 1 the left side is 1/2, the right side is 1 -1 +1 -1... This caused me in...

How can division even be allowed in math if it sometimes leads to absurdities? For example divisions that generate a series which is obviously untrue for values that are allowed in the original equation. Seems to make the entire process questionable, even allowing for "range of convergence" etc...