We see that the eigenvalue of the eigenfunction is given by

for an appropriately chosen . Thus we need only actually consider , which we from now on denote . Then some calculation gives us that the integral is

We can show that (and this will suffice) that when is near ,

## Solution (continued)

We see that the eigenvalue of the eigenfunction is given by

for an appropriately chosen . Thus we need only actually consider , which we from now on denote . Then some calculation gives us that the integral is

We can show that (and this will suffice) that when is near ,