AP® Calculus AB & BC

Limits are the launchpad for both derivatives and integrals. Therefore, a solid grip on limits will power every later topic in AP® Calculus. Today’s spotlight

A limit tells where a function is heading as the input gets very close to a chosen value. Mastering the laws of limits calculus is

Calculus begins and ends with limits. Therefore, the College Board loves to test them. However, many students stumble when a function behaves differently on each

What height does a bouncing ball settle toward after many rebounds? That target height is never quite reached, yet it can be predicted. Mathematically, it

Power series are central to many concepts in calculus. They help express complicated functions as sums of simpler terms. This is useful because, near a

Series play an important role in calculus. A power series is a sum of terms in the form of , where is a nonnegative integer

Radius and interval of convergence play a key role in understanding how series and power series behave. When a function is written as a power

The lagrange error bound formula helps predict how far a Taylor polynomial might be from the true value of a function. Therefore, it is a

Taylor and Maclaurin series are crucial tools in AP® Calculus AB-BC. They help approximate complicated functions using simpler polynomials. Therefore, these series are often used