Question

Hello this is a question from my math class which I am confused on..

Answer 1

Let's identify the sequence:

`\begin{gathered} (1)/(4),(1)/(16),(1)/(64),(1)/(256),\ldots, \\ An=4^(-n)=((1)/(4))^n \end{gathered}`

So, using the sequence, we can find the expression:

`\begin{gathered} \lim _(n\to\infty)An \\ so\colon \\ \lim _(n\to\infty)An=\lim _(n\to\infty)((1)/(4))^n \\ n\in N \end{gathered}`