# Regional Undergraduate Mathematics Conference

# 16:00 __Harnessing the Power of Computers to Aid in Evaluating Indeterminate Limits__

Computers today can quickly compute thousands of operations per second, reducing human error in many fields, such as engineering. We may even use this power to aid us in our attempts to solve indeterminate limits. An indeterminate limit may result when we divide an ever increasingly small number by another ever increasingly small number, leading to zero divided by zero. Such a limit may come out with any possible number. The numerator may be one when the denominator is one billionth, resulting in a billion; or the numerator may be one billionth when the denominator is one, resulting in one divided by a billion. Using computers to compute values close to the point in question may lead to the value of the limit itself.