Infinite Limit vs Limits at Infinity of a Composite Function
Infinite Limit vs Limits at Infinity of a Composite Function
Vertical asymptotes are (finite) values of x where limit of the function tends to either plus or minus infinity on one of the sides. Horizontal asymptotes look at whether the limit as x goes to plus or minute infinity approaches a finite value. In this example we look at a tricky function that is a composition of e^(x) and a rational function. We find all vertical or horizontal asymptotes and use this to sketch a graph of the function
