Solve using Matlab.

2. Taylor series expansion for sin x is as follows: 3! *5 7+ 9 +(-1)"-1 (2n-1)! Define a vector x which has 50 linearly spaced values between - and Define a variable y as sine values of x, calculated using Taylor series given above for 3 terms. Use for loop to accomplish the task. Use MATLAB's built-in sin(x) function to calculate sine values of same x vector and store them in variables called z. Create a set line plots comparing sine values for calculated using Taylor series and built-in function value. Label x-axis and y- axis properly and use legend to represent your plots. Run the same problem with 5 terms of Taylor series. [20 points) Hint: You will have two figures from this problem and each of the plots will have 2 line plots. Since x is a vector, Taylor series evaluation would require element wise operator (.^). In your report, showing code for only one run is sufficient