Write the Maclaurin series and the interval of convergence for each of the following functions. (a) 1/

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Write the Maclaurin series and the interval of convergence for each of the following functions.
(a) 1/ (1 - x)
(b) ex
(c) sin x
(d) cos x
(e) tan-1x
(f) 1n(1 + x)
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