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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>>

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