Find the following limits, using L'Hospital's rule, if appropriate. Use INF to denote $\infty$ and MINF to denote $-\infty$

(a) $\displaystyle \lim_{x\to\infty}\frac{\tan^{-1}(x/3)}{\sin^{-1}(1/x)}$ =

(b) $\displaystyle \lim_{x\to 0}\frac{x\cos^5(\pi e^{x^{4}})}{\ln(1 + 5 x)}$ =