### The Maclaurin Series of f(x) = (1+x)^{1/2} 1a

Calculus: We derive the Maclaurin series of f(x) = sqrt(1+x) and use it to compute the series for 1/sqrt(1+x). With this, we obtain the series for sin^{-1}(x), and, in turn, calculate an estimate of sin{-1}(1/2) = pi/6. For more videos like this one, please visit the Calculus playlists at this channel.

Length:
08:03