- #1

freshman2013

- 43

- 0

## Homework Statement

1. lim as n approaches infinity of ((n+1)^5-(n-1)^5)/n^4

2. lim as n to infinity (n!)^2/(2n)!

## Homework Equations

## The Attempt at a Solution

1.I split it up, got (((n+1)/n)^4)*(n+1)-(((n-1)/n)^4)*(n-1). I try to simplify that down to (n+1)-(n-1) and got 2 as my answer, since the other portion of the limit evaluates to 1. Wolframalpha, however, gave me 10 as the answer.

2. I never seen a problem involving limits with just factorials, so I just guessed that n factorial squared grows faaster than (2n)! so the answer is infinity but wolframalpha says the answer is 0.