Don't get the wrong idea (1)

The definition of $1^{n}$ is that no matter what we set $n$ to, we will always get $1$ as a result. Therefore, our function graphed will be a straight line $y=1$ spanning from $-\infty$ to $\infty$ . If you approach any point from either side, the result will always be 1. $\lim_{a \rightarrow x^-} (y=1^x)= \lim_{a \rightarrow x^+} (y=1^x)=1$

The function $1^x$ tends to $1$ as $x \to\ \infty$ . This can be intuitively shown with the graph of $y = 1^x$ .