TOPICS
This page:
series
About Levels
of Difficulty
Trigonometry
law of sines
law of cosines
Calculus
derivatives
integration
series
Trig/Calculus
proof
area
perimeter
volume
Browse all
Trig/Calc
Problems
Trig/Calc
Home
About the
PoW Library

Calculus: Series
The concept of finding an infinite sum is important in understanding
how to find the area under a curve in calculus. Each of the problems
below requires the evaluation of an infinite series.
For background information elsewhere on our site, explore
Sequences and Series
in the high school area of the Ask Dr. Math archives. To find relevant
sites on the Web, browse and search
Calculus (Single Variable):
Sequences/Series
in our Internet Mathematics Library.
Access to these problems requires a Membership.

Add It Up
 Leigh Nataro

Trig/Calc, difficulty level 2. Find the sum for an infinite series.
... more>>

The Growing Snowflake
 Leigh Nataro

Trig/Calc, difficulty level 4. Find the limit for the area of the Koch snowflake.
... more>>

A Holiday Card
 Leigh Nataro

Trig/Calc, difficulty level 3. Find the ratio of the red area to the green area as the number of squares approaches infinity.
... more>>

Preparing for the Test
 Leigh Nataro

Trig/Calc, difficulty level 2. Find the original three numbers in an arithmetic sequence.
... more>>

A Sprinkling of Dust
 Leigh Nataro

Trig/Calc, difficulty level 2. Find the length of the Cantor Set after n iterations.
... more>>

Squares Inside Squares
 Leigh Nataro

Trig/Calc, difficulty level 3. Find the sum of the perimeters of three nesting squares. Imagine that the process of nesting squares continues forever. The sum of the perimeters approaches a finite number. What is that number?
... more>>

What Is My Dimension?
 Leigh Nataro

Trig/Calc, difficulty level 4. Find the fractal dimension of the Koch curve.
... more>>
Page: 1
