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Unformatted text preview: x 101 and ﬁnd the derivative h (101) (0) . 4. (a) Write the ﬁrst 3 terms (including the constant one) of the Taylor series expansions about x = 0 of the functions f ( x ) = (1-x )-3 / 2 and g ( x ) = e 3 x/ 2 . (b) Use your result in (a) to decide which function takes larger values for x close to 0....
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