Question

How to algebraically find the limit of a function as x approaches infinity?

Answer 1

Well... One way you can do this is by testing a set of arrays and see the trend. If I chose to find what y1 is in (100, y1) and what y2 is in (101, y2), I would find the difference between y2 and y1. If y2 - y1 is positive, this means there is a positive relationship and y is also approaching POSITIVE infinity. A negative relation means that it is approaching NEGATIVE infinity. However, it could be approaching a single number like "4" for instance, and you just need to plug in the right number of data sets to make that educated guess.

Formula Example:
5 + 1 / (x + 1) will always approach 5 because "1 / (x + 1) will approach 0".

Hope this helps.