Taylor / Maclaurin Series

Free Response Video

a.) Write the Taylor polynomial centered at x=0 for x(e^x)
b.) Write the Taylor polynomial centered at x=0 for ∫x(e^x) dx
c.) Find the exact value of:

d.) Use the results of part b and c to determine:

Solutions

Part a: http://www.youtube.com/watch?v=VFqikRZ1j3I

Part b: http://www.youtube.com/watch?v=ktS_CWecFrY&feature=channel_video_title

Part c: http://www.youtube.com/watch?v=TLsu5PPZTzg&feature=channel_video_title

Part d: http://www.youtube.com/watch?v=ix1RjZDuf_o&feature=channel_video_title