Quote:
|
Originally Posted by phukraut
Note however that sometimes mathematicians will say things like 1/0 = infinity, but this is really just shorthand for the limit. I think a more interesting question is the value of 0^0. Calculus treats this as undefined. Not everyone agrees though. Some discrete mathematicians and logicians consider 0^0 = 1, and not just formally to make sums look pretty, but meaningfully. Fun topic.
|
Really? I always assumed that 0^0 was definitely 1. My calculator gives me a domain error, which rules out division by zero and infinity... hmm... The log<sub>10</sub>(0) gives the same error. I guess "domain error" really means "undefined", since 10 raised to what equals zero?
Zero seems to cause a lot of problems. Who was it that invented it? The Egyptians?