The function e-t can be approximated by its McLaurin series expansion as follows (note the alternating + and -): 12 13 e- 1-r+ 2 +...+ Alternatively, note that e-* = 1 Thus, e- McLaurin series expansion of em. That is, can also be apporximated by 1 over the 1+x+* + x + ... + Approximate e-2.5 using both approaches above for n = 1, 2, 3, 4, 5, 6 and 7. Note, n is the degree of the polynomial not the number of terms. So here you use 2 terms, then 3 terms, ..., and finally 8 terms. Compare each approximation to the true value of e-2.5 = 0.082084998...., using the true relative error. What conclusions can you make about the two approaches