# Proving Limits

1. Jan 15, 2009

### e.gedge

Let an= ( 2n ) 4-n, for all n greater than or equal to 1
( n )

Prove that sequence an converges to a limit, and find limn->infinityan.

2. Jan 15, 2009

### e.gedge

that was supposed to be

( 2n )
( n )

3. Jan 15, 2009

### e.gedge

As in, 2n choose n

4. Jan 16, 2009

### HallsofIvy

Staff Emeritus
$_{2n}C_n$ is a polynomial in n and 4-n, being exponential, goes to 0 faster than any polynomial goes to infinity.