Packing measure of the linear Gauss system

For every k N let fₖ: 1k+1, 1k 0, 1 be decreasing, linear functions such that fₖ (1k+1) = 1 and fₖ (1k) = 0, k = 1, 2,. We define iterated function system (IFS) Sₙ by limiting the collection of functions fₖ to first n, meaning Sₙ = \fₖ \₊=₁ⁿ. Let Jₙ denote the limit set of Sₙ. Then ₍ P₇䂸 (Jₙ) = 2, where hₙ is the packing dimension of Jₙ and P₇䂸 is the corresponding packing measure.