just do part b

Consider the function F(h)=heheh where h is a positive value. It is not possible to evaluate this function when h=0 due to a division by zero error. In order to understand the behaviour of this function as h approaches zero, we can calculate F(h) for a series of smaller and smaller values of h and observe the resulting output values. (a) Write a Matlab code that computes the function F(h). Then, create a plot of F(h) for a range of h values . By using different values of h, estimate the limit of F(h) as h approaches zero. Consider the possibility that h may be chosen too small and explain what can happen in this scenario. Explain your reasoning. Remember to choose appropriate scales for the axes in your plot. (b) Showing your work, find the limit L=limh0F(h) analytically. Then, create a plot of F(h)L for various h. We are interested in the largest value of p for which F(h)=L+O(hp). Using your plot, find p. Explain your reasoning. Remember to choose appropriate scales for the axes in vour plot