Limits

media type="custom" key="5944949" flat toc =Functions, Graphs, & Limits (Limits)= It is expected that students will understand the concept of a limit of a function, notation used, and be able to evaluate the limit of a function.

It is expected that students will:
 * demonstrate an understanding of the concept of limit and notation used in expressing the limit of a function as //x// approaches a
 * evaluate the limit of a function
 * analytically
 * graphically
 * numerically
 * distinguish between the limit of a function as //x// approaches a and the value of the function at //x = a//
 * demonstrate an understanding of the concept of one-sided limits and evaluate one-sided limits
 * determine limits that result in infinity (infinite limits)
 * evaluate limits of functions as //x// approaches infinity (limits at infinity)
 * determine vertical and horizontal asymptotes of a function, using limits
 * determine whether a function is continuous at //x = a//

Fractals & Infinite Limits [|http://en.wikipedia.org/wiki/Infinity#Fractals] Applications of (Infinite) Geometric Series [|http://en.wikipedia.org/wiki/Geometric_series#Fractal_geometry] Earth's Most Stunning Natural Fractal Patterns [] (Online Photo Gallery)

NCTM Mathematics Teacher //Beth Cory and Ken W. Smith// Through these calculus activities, students reach an understanding of the formal limit concept in a way that enables them to construct the formal symbolic definition on their own.
 * Delving into Limits of Sequences**