0
Division by zero is not allowed/defined. So you cannot take 'one over zero', or have zero in the denominator.
Without going too technical, a person might say that 1/0 is infinity, and it sounds good. But if you have a function [say f(x) = 1/x] and take the limit of f(x) as x approaches zero, then f(x) approaches infinity as x approaches from the right, but it approaches negative infinity as you approach from the left, therefore the limit does not exist.
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Does every real number have a reciprocal?
No, 0 does not have a reciprocal, yet 0 is a real number.
What real number does not have reciprocal?
0 has no reciprocal
What is the reciprocal of zero?
It is 0. But some people say 0 does not have a reciprocal.
What is the reciprocal of 0?
what is the reciprocal of 0?well you have to understand that a reciprocal of any number is the number that when multiplied gives 1.ex. reciprocal of 2 is 1/2 because 2x1/2 is 1now understanding that what number can we multiply 0 by to get 10x1 nope0x8 nope0x10000000000000000000000000000000 nopebut what if we consider infinity?infinity isn't big it isn't small it is the endlessness of numbers.and zero is the midway point of the numbers.skipping all of the theory we can understand that the recipricol of 0 is infinity.This is a common perception of the reciprocal of zero. Another common answer, more commonly believed, is that 0's reciprocal is undefined.
What is the negative reciprocal of 0?
The negative reciprocal of zero would be any undefined fraction. 0/x=0 negative reciprocal: -(x/0)= undefined.
