Question

Complete the following table:
n | (1+1/n)^n
----------------------
10 |
100 |
1000 |
10,000 |
100,000 |

What happens as n gets larger and larger? Recognize this number? What is it?

Answer 1

1/n goes to zero as you divide by infinitely large numbers. Thus, 1^N = 1. The rest you can figure out with a calculator.

Answer 2

can you please explain more?

Answer 3

1/ big number = 0
So, as n gets larger and larger, (1 + 1/n)^n approaches (1+0)^n = 1