Calculate the expressions that follow in double precision arithmetic $($using

Matlab, for example$)$ for $x={10}^{-1},$dots,${10}^{-14}.$ Then, using an alternative form of

the expression that doesn't suffer from subtracting nearly equal numbers,

repeat the calculation and make a table of results. Report the number of

correct digits in the original expression for each $x.$

a$.\frac{1-secx}{ta{n}^{2}x}$

b$.\frac{1-(1-x{)}^3}{x}$