MATLAB ONLY !!

(a) Modify an M-file for Taylor Series from Lab1A (e.g. for exp(x) without using Horner) to compute and plot the Taylor series and f(x) from problem 1 above (an M-file is expected to be handed in for this part with filename lab1bP2.m). A couple of implementation hints that may be useful: (i) Note that the loop does not have to start with 1. (ii) Note that the first term in the series is now 1/2 rather than 0 so you will need to change the initialization. A useful function to do this is the Matlab ones function which you can multiply by -0.5 to get the appropriate initialization. (iii) When calculating f(x) with a vector argument x instead of a scalar, you need to use the vector operators for division. / and powers .^ (i.e. with the modifying the normal operator). (b) Plot a graph of f(x) and its Taylor series with 4 terms (up to the cubic term) using 50 points over the range (0.999, 1.001). If you have done this correctly, the curves should be essentially indistinguishable. (a) Modify an M-file for Taylor Series from Lab1A (e.g. for exp(x) without using Horner) to compute and plot the Taylor series and f(x) from problem 1 above (an M-file is expected to be handed in for this part with filename lab1bP2.m). A couple of implementation hints that may be useful: (i) Note that the loop does not have to start with 1. (ii) Note that the first term in the series is now 1/2 rather than 0 so you will need to change the initialization. A useful function to do this is the Matlab ones function which you can multiply by -0.5 to get the appropriate initialization. (iii) When calculating f(x) with a vector argument x instead of a scalar, you need to use the vector operators for division. / and powers .^ (i.e. with the modifying the normal operator). (b) Plot a graph of f(x) and its Taylor series with 4 terms (up to the cubic term) using 50 points over the range (0.999, 1.001). If you have done this correctly, the curves should be essentially indistinguishable