Division by zero: Difference between revisions

However, when a function is constructed by dividing two functions whose separate limits are both equal to <math>0,</math>, or are both infinite (positive or negative infinity) then the limit of the result cannot be determined from the separate limits, so this is called an [[indeterminate form]], informally written <math>\tfrac00</math> or ±<math>\frac∞∞frac{∞}{∞}.</math> Such a limit may equal any real value, may tend to infinity, or may not converge at all, depending on the particular functions. For example, in