Please help me compute:
limz→0√2(z−log(1+z))z
I know the answer is 1 because I plugged it into Mathematica. Attempts with L'Hopital's Rule didn't work. This a step in an exercise for my self-study project. Thanks!
Answer
Using Taylor series
log(1+z)∼0z−z22
we get
√2(z−log(1+z))z∼0|z|z∼{1at0+−1at0−
so the limit doesn't exist.
No comments:
Post a Comment