Finding asymptotes of rational functions can be tricky. Here are some common challenges you might face:

1. Vertical Asymptotes:

   • To find these, you need to see where the bottom part of the fraction (the denominator) equals zero.
   • Sometimes, factoring can be hard, especially if you have repeated factors. This can make it tough to get the right limits.

2. Horizontal Asymptotes:

   • You need to compare the top part (numerator) and the bottom part (denominator) of the fraction.
   • It can be easy to misunderstand the leading numbers, which can lead to mistakes.

3. Oblique Asymptotes:

   • You have to use long division, which can be boring and may lead to errors if you’re not careful.

To make this process easier, follow these steps one at a time, and always check your work with a graph.