Review Topics 10.14 - 10.15

Front

What is the Taylor series expansion?

Back

The Taylor series expansion is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point.

Front

What is the formula for the Taylor series of a function f(x) about x=a?

Back

Front

Back

Front

What is the interval of convergence for a power series?

Back

The interval of convergence is the set of values of x for which the power series converges to a finite value.

Front

What is the significance of the radius of convergence?

Back

The radius of convergence determines the distance from the center of the series within which the series converges.

Front

What is the Taylor polynomial of degree n?

Back

The Taylor polynomial of degree n is the polynomial formed by truncating the Taylor series after the nth term.

Front

Back

Front

Back

Front

Back

Front

Back