(a) Given f{x) = eh, obtain the Maclaurin expansion for f(x] up to, and including, the term in x3. (b) On a suitable domain, let g[x) = tan 2:. (i) Show that the third derivative of g(x] is given by g"'{x} = 25cc4 x+ 4mm2 xsecz x. (ii) Hence obtain the Maclaurin expansion for g[x) up to and including the term in x3. (c) Hence, or otherwise, obtain the Maclaurin expansion for entanx up to, and including, the term in x3. (cl) Write down the rst three non-zero terms in the Maclaurin expansion for 29h tan x + eh sec2 x