Question

What is the value of e?

Answer 1

Hint: As we know that $e$ is the constant used in mathematics and is also known as Euler’s number. To find the value of e we will first discuss the basic concepts of e and then we will find the value to get the desired answer.

Complete step by step solution:
We have to find the value of e.
We know that the constant $e$ is basically the logarithmic concept. It is used as the base of the natural logarithm and looks like ${{\log }_{e}}$.
The letter ‘e’ is also known as Euler’s constant because a mathematician Leonhard Euler used this mathematical constant and is named after him.
The limit of the constant $e$ is defined as
$\Rightarrow e={{\left( 1+\dfrac{1}{n} \right)}^{n}}$ when n tends to infinity.
We can calculate the value of $e$ by solving the above equation. When we solve the above expression we will get the irrational number. The approximate value of the constant $e$ will be 2.718.
Hence the value of $e$ is 2.718.

Note: The actual value of $e$ is a very large number and in mathematics we will use only approximate values so the approximate value of $e$ is 2.718 and the same value is used in mathematical, physical and economic phenomena. The point to be noted is that we can operate all mathematical operations using the value of $e$.
The actual value of $e$ is 2.718281828459045235360287…………