Consider the integral defined by
.
Use Laplace's method to obtain the first term of the asymptotic expansion of the integral as .
How can I start? Can someone point me to somewhere with a similar example?
Thank you.
Consider the integral defined by
.
Use Laplace's method to obtain the first term of the asymptotic expansion of the integral as .
How can I start? Can someone point me to somewhere with a similar example?
Thank you.
Well that was the version of Laplace's method from the first part of this document, except the maximum is of is at an end point of the interval so not quadratic, and so this is covered by the middle paragraph of the further notes section.
CB
According to the tutorial 2.8 referred to by the middle paragraph of the further notes section, the higher boundary should be taken to . This is what I got after doing that.
Thanks for helping me getting into this topic.