which of the following statements about the number e is not true? a. the number e is a rational number. b…

which of the following statements about the number e is not true? a. the number e is a rational number. b. the number e is called the natural base. c. the number e is defined as the value of the expression (1 + 1/n)^n as n approaches infinity. d. the number e is an irrational number.

which of the following statements about the number e is not true? a. the number e is a rational number. b. the number e is called the natural base. c. the number e is defined as the value of the expression (1 + 1/n)^n as n approaches infinity. d. the number e is an irrational number.

Answer

Brief Explanations:

The number $e$ is an irrational number, not a rational number. It is called the natural - base and is defined as $\lim_{n\rightarrow\infty}(1 + \frac{1}{n})^n$. A rational number can be written as a fraction $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b\neq0$, but $e$ cannot be expressed in this form.

Answer:

A. The number $e$ is a rational number.