Answer
$$\lim_{x\to a}f(x)+\lim_{x\to a}g(x)$$
$$\lim_{x\to a}f(x)\cdot\lim_{x\to a}g(x)$$
$sum$, $product$
Work Step by Step
According to the Limit Laws, $$\lim_{x\to a}[f(x)+g(x)]=\lim_{x\to a}f(x)+\lim_{x\to a}g(x)$$ and
$$\lim_{x\to a}[f(x)g(x)]=\lim_{x\to a}f(x)\cdot\lim_{x\to a}g(x)$$
In words, the limit of a sum is the $sum$ of the limits, and the limit of a product is the $product$ of the limits.