Please see the attached file for the fully formatted problems.
1 Write down the Taylor polynomial of , . Use Taylor's theorem to
show that =
2. Given that , 1 < e < 3. Do the followings.
a) Write down the Taylor polynomial of and show that for and
b) Use a) to show that for all c) Conclude that e is irrational?© BrainMass Inc. brainmass.com March 4, 2021, 8:11 pm ad1c9bdddf
Let , then , , and so on.
In general, we have . By Taylor's Theorem, we expand at and get . Especially, set , we have
(a) Let , then and thus . By Taylor's Theorem, we ...
Taylor's theorem are investigated.