**Small x:**

(13.24) | |||

(13.25) |

Note that for small ( ) is proportional to and is proportional to , which are the regular and irregular solutions to the separated Laplace equation. This is the correct way to obtain the static limit.

**Large x:**

(13.26) | |||

(13.27) |

Note that both solutions are regular (go to zero smoothly) at infinity and are the same (trig) function shifted by over there. Note that they are