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.
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 ...