QuestionFind the first five terms of the sequence given by $2^{n+1}$ for $n = 0, 1, 2, 3, 4$. Determine the limit as $n$ approaches infinity.

Studdy Solution
We know that for any positive constant $k$, $\lim{n \rightarrow \infty} k^n = \infty$. Here, $k =2$ is a positive constant. Therefore, the limit of the sequence as $n$ approaches infinity is infinity.
$$\lim{n \rightarrow \infty}2^{n+1} = \infty$$The correct choice is B. The limit does not exist or is $\infty$ or $-\infty$.