1+ 3 - 1 For small, v1+x=1+ . Then the function f(x) = ~ 1/2 However, the MATLAB commands >> X = linspace(-1e-15, 1e-15,500); >> f = ((sqrt(1+x)) - 1) ./ x; produce significant round-off errors. What could be a better way to rewrite f(x), that is, what should be function g(x) that is mathematically equal to f(a), but whose numerical evaluation will not suffer from significant round- off errors? 2 g(x) =1+ 9(z) = 1+z. 1 g(x) 1 + x + 1 1 g(2) 1 + x - 1