Wallis Function

• Function Definition

function w = wallis(n)

% compute successive approximations to pi.

evens = 2 .* (1:n);

odds = evens - 1;

odds2 = odds .* (odds + 2);

w = 2 .* cumprod( (evens .^ 2) .* odds2 );

• Contrasting Wallis and Euler approximations

>> plot(1:100, euler(100), 1:100, wallis(100))

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