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• (가)$\displaystyle \lim _ {\left (x, y \right) \rightarrow \left (0, 0 \right)} \frac{x y} {x ^ {2} + y ^ {2}}$
• (나)$\displaystyle \lim _ {\left (x, y \right) \rightarrow \left (0, 0 \right)} \frac{x y} {\sqrt {x ^ {2} + y ^ {2}}}$
• (다)$\displaystyle \lim _ {\left (x, y \right) \rightarrow \left (0, 0 \right)} \frac{x ^ {2} y} {x ^ {4} + y ^ {2}}$
• (라)$\displaystyle \lim _ {\left (x, y \right) \rightarrow \left (0, 0 \right)} \sqrt {x ^ {2} + y ^ {2}} \ln \left (x ^ {2} + y ^ {2} \right)$