#x/0
9 messages · Page 1 of 1 (latest)
Since the definition of the quotient a/b is “that number which, when multiplied by b yields the product a,” it follows that, since 0 times any number is 0, the only value of x for which x/0 would make any sense is x=0.
Because as you approach zero from either side the value is different. If you let the denominator approach zero from below you will see that for x<0 gets larger and larger the closer the denominator gets to 0, it diverges to infinity. For x>0 it diverges to negative infinity. If the denominator approaches 0 from above then x>0 approaches infinity and x<0 approached negative infinity. This means that the value approaches a different value depending on which side the denominator approaches 0 from. And even if it didn’t the value would still be divergent due to the fact that it approaches infinity. And for x=0 we call that an indeterminate form.
||not even 0/0 makes sense, the result can be anything||
I see that now actually I guess me saying x=0 would be an Indeterminate form
I guess if you switch the 0 bottom or top the answer will differ?
limit of 0/x as x approaches 0 is 0. But 0/0 itself is indeterminate
Ah alright gotcha
say you have [X] amount of employees. and you have 0 offices. how many employees would there be in each of the 0 offices