DEV C$++$

The function $e^x$ can be expressed by Taylor series as shown below:

$e^x=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\frac{x^4}{4!}$dotsdotsdots$={\displaystyle \underset{n=0}{\overset{}{}}}\frac{x^n}{n!}$

Design a function with two variables, e$.$g$.,$ function $,$ err$).$ This function is a Taylor series of $e^x,$ and err in function is an allowable error. The meaning of allowable error is shown below:

err$=|{\displaystyle \underset{n=0}{\overset{N+1}{}}}\frac{x^{n+1}}{(n+1)!}-{\displaystyle \underset{n=0}{\overset{N}{}}}\frac{x^n}{n!}|$

Using this function in main function to calculate the $e^x.$ CPP file uploads to Moodle website before $18$:$10$

Functions

Reasons

Concepts

Passing arguments to a function

Preset parameters

Function returns

Inline functions

Static variables within a function

Example

Please enter the variable $x1.$

Please enter the allowable error

$0\mathrm{.}1$

$e(1)$ is equal to $2\mathrm{.}70833$

Please enter the variable $x1$

Please enter the allowable error $0\mathrm{.}0001$

$e(1)$ is equal to $2\mathrm{.}71828$