CA - Calculus - 1.0
1.0 Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity:
- 1.1 Students prove and use theorems evaluating the limits of sums, products, quotients, and composition of functions.
- 1.2 Students use graphical calculators to verify and estimate limits.
- 1.3 Students prove and use special limits, such as the limits of (sin(x))/x and (1-cos(x))/x as x tends to 0.