A series is _______ if the absolute value of the series converges.

A function is ________ at x=a if lim f(x) and f(a) exist and are equal.

Derivative of velocity

Sharp point on a curve in which slope is not differentiable

A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.

A point (x, y) on the graph of a function at which the derivative is either 0 or undefined.

A series which alternates between positive and negative terms

A point at which a curve changes from concave up to concave down, or vice-versa.

Definition

Term

The process of writing any proper rational expression as a sum of proper rational expressions

A class of problems in which rates of change are related by means of differentiation

A theorem which allows the computation of the limit of an expression by trapping the expression between two other expressions which have limits that are easier to compute.

Any real number, or any quantity that can be measured using a single real number

A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions 0 and infinity. This is done by finding the limit of the derivatives of the numerato

The process of finding the derivative of an explicit function.

An extreme value of a function

A discontinuity for which the graph steps or jumps from one connected piece of the graph to another.

A series which represents a function as a polynomial that goes on forever and has no highest power of x