Maclaurin series Definition and 152 Threads

CLUELESS about a Maclaurin series! I'm supposed to obtain a Maclaurin series for the function defined by f(x) = \left\{ \begin{array}{lc} e^{-1/x^2} & \mbox{ if } x \neq 0 \\ 0 & \mbox{ if } x = 0 \end{array} \right. I get immediately stuck as I find: f(0) = 0 f^{\prime}(0) =...

using the sin and cos Maclaurin series, validate each of them using at least 3 values for x and determine how many terms are needed to provide reasonable accuracy. Find the General Term (Tn where n = 1, 2, 3, ...) for each expression and show that each correctly generates the terms of the...