In mathematics infinity is a defined numeric quantity greater in magnitude than any finite numeric quantity, whereas undefined refers simply to something lacking a definition (e.g. the result of division by zero is undefined, not infinity). If you study set theory, you will find there are many different infinities some greater in magnitude than others. Infinity though defined is not a simple concept.
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both are equal... infinity is the representation of undefined.
Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.
zero is horizontal, undefined is vertical
Zero is nothing, infinity is everything.
Undefined: You cannot divide by zero