Hi, I was wondering if someone could help me sort out my thoughts and perhaps, if possible start me off for this question:
Use higher-degree approximations for \(\displaystyle e^x\) about \(\displaystyle x\, =\, 0\) to explain why this limit is "equal to infinity" for n = 1, 2, 3, .... Justify your answer, being careful to state any assumptions you are making.
I know that e^x about x=0 is equal to one, but I am a bit confused about how to prove the limit is infinity in this way. Do I need to write out the polynomial and then insert infinity? Any help/clarification would be appreciated.
Use higher-degree approximations for \(\displaystyle e^x\) about \(\displaystyle x\, =\, 0\) to explain why this limit is "equal to infinity" for n = 1, 2, 3, .... Justify your answer, being careful to state any assumptions you are making.
I know that e^x about x=0 is equal to one, but I am a bit confused about how to prove the limit is infinity in this way. Do I need to write out the polynomial and then insert infinity? Any help/clarification would be appreciated.
Attachments
Last edited by a moderator: