## CHAPTER 7 ______________________________

Trig Limits and Derivatives

So far, most of our limits and derivatives have involved only polynomials or poly-type functions. Now let’s expand our horizons by looking at trig functions. In particular, we’ll focus on the following topics:

• the behavior of trig functions at small, large, and other argument values;

• derivatives of trig functions; and

• simple harmonic motion.

### 7.1 Limits Involving Trig Functions

Consider the following two limits:

They look almost the same. The only difference is that the first limit is taken as *x* → 0 while the second is taken as *x* → ∞. What a difference, though! As we’ll ...