### Home > CALC > Chapter 9 > Lesson 9.4.1 > Problem 9-113

9-113.

What is the dominant term in the numerator? What is the dominant term in the denominator? How do these terms compare?

Graph *y* = *e*^{–2}* ^{x}*. What happens to the graph as

*x*→ –∞?

l'Hôpital's Rule can be used here. Or, you can graph the function.

This is the geometric series: