Practice Problems on Value of e
Probelm 1: Evaluate the limit as x approaches infinity: .
Probelm 2: Calculate the sum of the infinite series: 1+ 1/1! + 1/2! + 1/3! + 1/4! . . .
Probelm 3: Find the derivative of the function f(x) = e2x.
Probelm 4: Solve the differential equation: dy/dx = y with the initial condition y(0) = 1.
Probelm 5: Compute the integral: ∫ex dx .
Value of e
Value of e in mathematics is approximately 2.71828. “e” is an irrational number i.e., a non-repeating non-repeating number; meaning “e” cannot be expressed as a simple fraction. Euler’s Number or “e” is the base of the natural logarithm and has many applications in various mathematical and scientific contexts. Euler’s Number is similar to Pi (π).
You have heard about ‘e’ before but in this article, we’ll learn the significance of ‘e’ or Euler number in mathematics. We will find the value of ‘e’ stepwise and also practice some cool examples.
Table of Content
- What is ‘e’ or Euler Number?
- Symbol for ‘Euler number’
- Formula for e
- How to calculate the value of ‘e’?
- Properties of Euler’s Number