Can calculus involve limits with fractions?
Absolutely! Calculus often involves limits of fractions, especially when dealing with functions that result in fractions or rational functions.
For instance, when finding the limit of a rational function such as as approaches 1, you're essentially evaluating a limit with a fraction.
The techniques for dealing with limits involving fractions are similar to those for any other type of limit. You may need to simplify the fraction, factor, rationalize the numerator or denominator, or apply L'Hôpital's Rule if necessary.
In calculus, understanding how to handle limits involving fractions is fundamental because many functions naturally lead to expressions involving fractions, and limits are central to calculus for analyzing the behavior of functions near certain points.