So, by simple exponent rules:
Now, to use the root test we consider:
Recall that:
So, our limit becomes: (just breaking fraction apart to get rid of the )
Now, is simply 1 and .
So our limit finally becomes:
Please see the attached worked problem.
Root Test example.pdf
My question is about the final limit:
Can someone show me the steps to get to this point? I am confused as to how the limit becomes this. I know that it is because of the factorial, but it this from canceling due to a telescoping series?
Thanks!