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Updates last float exercise

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Andrew Cumming 2023-09-05 12:17:06 -04:00
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@ -62,9 +62,9 @@ The size of the roundoff error is set by the number of bits that we have availab
Consider the two forms of the function Consider the two forms of the function
$$f(x) = {1\over\sqrt{1+x^2}-x} = \sqrt{1+x^2}+x$$ $$f(x) = \sqrt{1+x^2}-x = {1\over \sqrt{1+x^2}+x}$$
One of these involves a subtraction, and one doesn't. Try evaluating and plotting these two expressions as a function of $x$. Which is more accurate? Do you see the effects of roundoff error at large values of $x$? One of these involves a subtraction, and one doesn't. Try evaluating and plotting these two expressions as a function of $x$. Which is more accurate? Do you see the effects of roundoff error at large values of $x$? How do you explain the size of $x$ where roundoff error appears?
``` ```