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Let $(-\Delta_{p})^{s}$, with $0<s<1<p<\infty$, be the fractional$p$-Laplacian operator. We prove that the span of $p$-harmonic functions in$B_{1}$ is dense in $C^{k}(\bar{B}_{1})$.

The set of $p$-harmonic functions in $B_{1}$ is total in $C^{k}(\bar{B}_{1})$