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Maths Maclaurin Series Homework Question

Hey I've got this homework question from school. It says "Use known Maclaurin series to find the first three non-zero terms in the Maclaurin series for cos^2 (x). I assume you just use the formula of the cos Maclaurin series and square each term? But do you square each term individually (1)^2 + (-1/2 x^2)^2 + (1/24 x^4)^2 .... or do you have to get all three terms and multiply them by each other? (1 - 1/2 x^2 + 1/24 x^4)^2

Any help would be much appreciated!
Reply 1
Original post by Shivi8
Hey I've got this homework question from school. It says "Use known Maclaurin series to find the first three non-zero terms in the Maclaurin series for cos^2 (x). I assume you just use the formula of the cos Maclaurin series and square each term? But do you square each term individually (1)^2 + (-1/2 x^2)^2 + (1/24 x^4)^2 .... or do you have to get all three terms and multiply them by each other? (1 - 1/2 x^2 + 1/24 x^4)^2

Any help would be much appreciated!


The square of a series is just that so (series)^2, so your latter case.
Reply 2
Original post by mqb2766
The square of a series is just that so (series)^2, so your latter case.


Perfect thank you so much!!!

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