x/0=undefined or infinite? Where x=0,1,2,3... ! I think 0/0 is undefined but1/0,2/0...is infinite do u agree?

Question

please give the reasons why you agree with me?

Answer 1

no, they are undefined.

You can not divide by 0 because the inverse of 0 is not defined. 1/0 is not infinity, it is undefined. Here is a quick explanation if you believe that 0/0 is undefined:

1/0=(1+0)/0=1/0+0/0. since one of the terms in undefined, the sum 1/0+0/0=1/0 is undefined. This of course kinda hurts my head (the equality 1/0=1/0+0/0) because division by 0 is undefined and therefore I can not use simple rules to prove it (the equality is actually not true, because both side are undefined).

BUT, 1/x--->infinity as x---->0 from the right and 1/x----->-infinity as x---->0 from the left. Limits can be done in this case, because you are not dividing by zero, you are dividing by increasingly small non-zero numbers.

Answer 2

x/0 is infinite... I can't explain it though... Urgh.