We report the $^{75}$As-NQR and NMR studies on the iron arsenide superconductor Li$_{x}$FeAs with $T_{rm c} sim 17$ K. The spin lattice relaxation rate, $1/T_{1}$, decreases below $T_{rm c}$ without a coherence peak, and can be fitted by gaps with s$
^{pm}$-wave symmetry in the presence of impurity scattering. In the normal state, both $1/T_{1}T$ and the Knight shift decrease with decreasing temperature but become constant below $T leq 50 K$. Estimate of the Korringa ratio shows that the spin correlations are weaker than that in other families of iron arsenides, which may account for the lower $T_{rm c}$ in this material.
