Calculating function output for more than one input variable

I have this function y = x^2/(sqrt(x^2+1.0)-1.0) and I want to calculate it for several values of x but I don't know how to do this at once. Now I do it this way:
x = 8^-1
y = x^2/(sqrt(x^2+1.0)-1.0)
and I get my result but I don't want to repeat this every time I change the value of x. Is there a way to declare more values at once?

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