  We prove that seesaw words exist in Thompson's Group F(N) for N=2,3,4,...
with respect to the standard finite generating set X. A seesaw word w with
swing k has only geodesic representatives ending in g^k or g^{-k} (for given
g\in X) and at least one geodesic representative of each type. The existence of
seesaw words with arbitrarily large swing guarantees that F(N) is neither
synchronously combable nor has a regular language of geodesics. Additionally,
we prove that dead ends (or k--pockets) exist in F(N) with respect to X and all
have depth 2. A dead end w is a word for which no geodesic path in the Cayley
graph \Gamma which passes through w can continue past w, and the depth of w is
the minimal m\in\mathbb{N} such that a path of length m+1 exists beginning at w
and leaving B_{|w|}. We represent elements of F(N) by tree-pair diagrams so
that we can use Fordham's metric. This paper generalizes results by Cleary and
Taback, who proved the case N=2.
