Use the limit properties to find the following limit.
-If $\lim _{x \rightarrow 3} f(x)=3$ and $\lim _{x \rightarrow 3} g(x)=2$, find $\lim _{x \rightarrow 3}[f(x) \cdot g(x)]$.
A) 6
B) Does not exist
C) 18
D) 5

Question

Quizplus · Accepted Answer

The limit of a product is the product of the limits, so $\lim _{x \rightarrow 3}[f(x) \cdot g(x)] = \lim _{x \rightarrow 3} f(x) \cdot \lim _{x \rightarrow 3} g(x) = 3 \cdot 2 = 6$.

Use the Limit Properties to Find the Following Limit lim⁡x→3f(x)=3\lim _{x \rightarrow 3} f(x)=3limx→3​f(x)=3

Use the Limit Properties to Find the Following Limit $\lim _{x \rightarrow 3} f(x)=3$