
What is the value of e?
Answer
451.5k+ views
Hint: As we know that 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 is basically the logarithmic concept. It is used as the base of the natural logarithm and looks like .
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 is defined as
when n tends to infinity.
We can calculate the value of by solving the above equation. When we solve the above expression we will get the irrational number. The approximate value of the constant will be 2.718.
Hence the value of is 2.718.
Note: The actual value of is a very large number and in mathematics we will use only approximate values so the approximate value of 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 .
The actual value of is 2.718281828459045235360287…………
Complete step by step solution:
We have to find the value of e.
We know that the constant
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
We can calculate the value of
Hence the value of
Note: The actual value of
The actual value of
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