I am trying to find the set of accumulation points of the subset of the real numbers.

{(-1)^n*(1+1/n): n is an element of the natural numbers}

I plugged in values for n to find a pattern and got the following results:

n=1: -2

n=2: 3/2

n=3: -4/3

n=4: 5/4

n=5: -6/7

n=6: 7/6

n=7: -8/7

n=8: 9/8

The values are negative when n is odd and positive when n is even. They begin to accumulate around -1 and 1, but not every point is represented. Does that mean the set of accumulation points is the empty set?