i need it as soon as possiblee please

Fall 2021 2022 Question 2: (50 pts) In calculus, Taylor's theorem gives an approximation a function around a specific value. For example: the Taylor's approximation of the function for very small values of x (x close to zero) is given by the following summation: * 1- x + x2 x3 + x* ..... + (-1)"x". 1+x 1+ Write a program that will ask the user to enter the value of n and displays the correct answer of and the corresponding Taylor's approximation for x=0.05 and x-5. I (note how the Taylor approximation is not correct for x=5 because x is not small) Sample run! Enter the value of n: 1 For x=0.05: the correct value of 1/(1+x) is :0.9523809523809523, and Taylor approximation is :0.95 Forx 5.0: the correct value of 1/(1+x) is :0.16666666666666666, and Taylor approximation is :-40 Sample run2 Enter the value of n: 6 For X-0.05: the correct value of 1/(1+x) is:0.9523809523009523, and Taylor approximation is :0.9522809531249998 For x 5.0: the correct value of 1/(1+x) is :0.16666666666666666, and Taylor approximation is :130210