exp() function C++

The exp() function in C++ returns the exponential (Euler’s number) e (or 2.71828) raised to the given argument.

Syntax for returning exponential e:
result=exp()

Parameter:
The function can take any value i.e, positive, negative or zero in its parameter and returns result in int, double or float or long double.

Return Value:
The exp() function returns the value in the range of [0, inf].

Error:
It shows error when we pass more then one argument in exp function



Application:
Given below is an example of application of exp() function

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#include <bits/stdc++.h>
using namespace std;
  
// function to explain use of exp() function
double application(double x)
{
    double result = exp(x);
    cout << "exp(x) = " << result << endl;
}
  
// driver program
int main()
{
    double x = 10;
    cout << application(x);
    return 0;
}

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Output:

exp(x) = 22026.5

Applications of e (mathematical constant):

  • Compound Interest : An account that starts at $1 and offers an annual interest rate of R will, after t years, yield eRt dollars with continuous compounding (Here R is the decimal equivalent of the rate of interest expressed as a percentage, so for 5% interest, R = 5/100 = 0.05)
  • Value of below expression is e.
    \lim _{n\to \infty }\left(1+{\frac {1}{n}}\right)^{n}.
  • The probability that a gambler never wins if he/she tries million times in a game where chances of winning in every trial is one by million is close to 1/e.
  • The number e is the sum of the infinite series
    e=\sum _{n=0}^{\infty }{\frac {1}{n!}}={\frac {1}{0!}}+{\frac {1}{1!}}+{\frac {1}{2!}}+{\frac {1}{3!}}+{\frac {1}{4!}}+\cdots \,,

Source : Wiki



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