Let f(x) = e^x.

1. Write a C++ program to find the approximations to f(2.3) using central-difference formula of order O(h²) with h=0.1, h=0.01, and h=0.001. You need to print a table like Table 6.2 and to find optimum step size from the table (minimum error).

2. Complete your program by comparing your results in part 1 with the value f(2.3)=e^2.3.

3. Repeat part 1 using central-difference formula of order O(h⁴).