You're trying to guess $\displaystyle\lim_{x \rightarrow 0} f(x)$. You plug in $x=0.1, 0.01, 0.001, \ldots$ and get $f(x)=4$ for all these values. In fact, you're told that for all $n=1, 2, \ldots$, the value of the function is $\displaystyle f\left(\pm \frac{1}{10^n}\right) =4$.

True or False: Choose True False Since the sequences $0.1, 0.01, 0.001, \ldots$ and $-0.1, -0.01, -0.001, \ldots$ go to $0$, we know $\displaystyle \lim_{x \rightarrow 0} f(x)=4$.

In the answer box below, explain your reasoning for the choice of true or false you made above. Use complete sentences and correct grammar, spelling, and punctuation. Be specific and detailed. Write as if you were explaining the answer to someone else in class.