Maclaurin series Definition and 155 Threads

its using the Maclaurin series, i have already worked out the equations: cos x = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + (x^8)/8! - (x^10)/10! + ... e^x = 1 + x + (x^2)/2! +(x^3)/3! + (x^4)/4! + (x^5)/5! + (x^6)/6! + ... how do i use these two results to obtain the first 6 terms on the...

I am having difficulty understanding Taylor and MacLaurin series. I need someone to go through step by step and explain a problem from beginning to end. You could use the function f(x) = cos x. Also, could someone find the MacLaurin series of 1/(x^2 + 4) ? I just don't understand the basics of...

Im helping my sis study for her exam but i can't remember how to find the first four non-zero terms of the maclaurin series

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...