MacLaurin-Series - MacLaurin Series Approximation MacLaurin...

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MacLaurin Series Approximation MacLaurin series is a power series defined as: ... ! 6 ) 0 ( ! 5 ) 0 ( ! 4 ) 0 ( ' ' ' ' ! 3 ) 0 ( ' ' ' ! 2 ) 0 ( " ) 0 ( ' ) 0 ( ! ) 0 ( ) 6 ( 6 ) 5 ( 5 4 3 2 0 ) ( + + + + + + + = = f x f x f x f x f x xf f x n f n n n Finding the Maclaurin series involves 3 steps: Determine the successive derivatives Evaluate the function and the derivatives at x = 0 Construct the series using the above definition Below is a snapshot of some common Maclaurin series for your convenience. You had seen how e x was determined. As another example, we will do sin(x)
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