finding limits algebraically: the easiest way to find a limit is to do it algebr 1) lim(3x) = x→2 2) l x

Explanation:

Step1: Apply limit - value substitution

We know that for a function $y = ax$ (where $a$ is a constant), $\lim_{x\rightarrow c}(ax)=a\times\lim_{x\rightarrow c}(x)$. Here $a = 3$ and $c = 2$.

Step2: Evaluate the limit of $x$

Since $\lim_{x\rightarrow 2}(x)=2$, then $\lim_{x\rightarrow 2}(3x)=3\times\lim_{x\rightarrow 2}(x)$.

Step3: Calculate the result

Substitute $\lim_{x\rightarrow 2}(x) = 2$ into the expression $3\times\lim_{x\rightarrow 2}(x)$, we get $3\times2 = 6$.

Answer:

6