  We give a self-contained treatment of Le and Habiro's approach to the Jones
function of a knot and Habiro's cyclotomic form of the Ohtsuki invariant for
manifolds obtained by surgery around a knot. On the way we reproduce a state
sum formula of Garoufalidis and Le for the colored Jones function of a knot. As
a corollary, we obtain bounds on the growth of coefficients in the Ohtsuki
series for manifolds obtained by surgery around a knot, which support the slope
conjecture of Jacoby and the first author.
