Given x = 1 to x = 5, the value of x^2 + 1 divided by x^2 can be calculated as follows:
For x = 1, x^2 + 1 divided by x^2 = (1^2 + 1) / (1^2) = 2/1 = 2
For x = 2, x^2 + 1 divided by x^2 = (2^2 + 1) / (2^2) = 5/4 = 1.25
For x = 3, x^2 + 1 divided by x^2 = (3^2 + 1) / (3^2) = 10/9 = 1.11
For x = 4, x^2 + 1 divided by x^2 = (4^2 + 1) / (4^2) = 17/16 = 1.06
For x = 5, x^2 + 1 divided by x^2 = (5^2 + 1) / (5^2) = 26/25 = 1.04
So, the value of x^2 + 1 divided by x^2 changes from x = 1 to x = 5.