(a) Use a graphing utility to compare the graph of the function y = e^x with the graph of each given function.

(i)

(ii)

(iii)

(b) Identify the pattern of successive polynomials in part (a), extend the pattern one more term, and compare the graph of the resulting polynomial function with the graph of y = e^x.

(c) What do you think this pattern implies?

Transcribed Image Text:

Y₁ = 1 + Ут X 1!