Limit zero over zero1/1/2024 ![]() ![]() ![]() If x has a value that approaches from the right,, the numerator will be negative, the denominator positive and therefore the right-side limit will be. If x has a value that approaches from the left,, both the numerator and denominator are negative and the left side limit is. One thing is clear, you will get infinity but what is the sign? Is it either positive infinity or negative infinity? To find that, we will be performing the side limits to determine the sign of. Let's replace with and find what would we get: Finding the limit of an expression that is divided by zero can be either or no limit.įor example, you are asked to find the limit of which is approaching. For example, divide by, the division will go on forever but you will achieve nothing. In mathematics, when you divide any number by zero, it will result in infinity. Imagine you have 15 pencils, you need to divide them into zero people, how much did each person get? It would be nothing! Because nothing is given to them. The concept of infinity comes from division by zero.
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