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Name: _________________________ | Period: ___________________ |

This test consists of 5 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

**1. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?**
**(a)** Nobody has determined the sum. **(b)** Infinity. **(c)** 0. **(d)** 2.

**2. What did Cantor suspect about transfinite cardinals?**
**(a)** That the sum of the series is infinite. **(b)** That there are transfinite cardinals even greater than c. **(c)** That there are transfinite cardinals much less than c. **(d)** That the sum of the series is finite.

**3. Which of the following did Dunham concentrate on as one of Newton's great advances?**
**(a)** Quadratic equation. **(b)** Quintic theorem. **(c)** Binomial theorem. **(d)** Area of a sphere.

**4. What hindered Euler's work as he grew older?**
**(a)** He had very bad arthritis. **(b)** His increasing blindness. **(c)** He had a stroke. **(d)** His hearing was getting worse.

**5. Which word best describes Newton's childhood?**
**(a)** Simple. **(b)** Troubled. **(c)** Cold. **(d)** Hard.

## Short Answer Questions

**1.** Where did Euler study at the age of 20?

**2.** To how many decimal places did Newton determine the number for pi?

**3.** What was true when Euler used n = 5 in the statement 2²ⁿ + 1?

**4.** In his later life, what position did Isaac Newton hold?

**5.** What was most noticeable about Euler at a young age?

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