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Find the Maclaurin series for the functions.$$7 \cos (-x)$$

$$7-\frac{7 x^{2}}{2 !}+\frac{7 x^{4}}{4 !}-\frac{7 x^{6}}{6 !}+\ldots$$

Calculus 2 / BC

Chapter 10

Infinite Sequences and Series

Section 8

Taylor and Maclaurin Series

Series

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Lectures

01:59

In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. The sum of a finite sequence of real numbers is called a finite series. The sum of an infinite sequence of real numbers may or may not have a well-defined sum, and may or may not be equal to the limit of the sequence, if it exists. The study of the sums of infinite sequences is a major area in mathematics known as analysis.

14:11

In mathematics, the partial sums of a series are the sums of all terms of the series except possibly the first and last.

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Use (7) to find the Maclau…

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Find the Maclaurin series …

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problem. 17 were on the point. Victoria. Serious. Here's the definition of Bob back roaring. Serious. So just hear toe affects. In fact, it's just evils. D'oh! Seven times cause I ax right that the same because cause I actually Sequels to possibly might have sex and the prime. Why, yes, I would say I next Prime Prime Max is, uh, minus silent because I am is equal to minus affects. Right? So you can just calculate the Nazis. Zero his terms, his vanishes. This time's just seven. And that's a mighty silent. So you can find that series something. Ah, seven FX is just equals two. First time is seven and the third term is minus seven. Device crematorium. Right. So well, you can write like this with the times accidentally to win. And when his hero to infinity and you ready by to a factorial, right? Yes. Uh uh. All terms are all gone. Garage era, the only even terms left. So you can just write toe a year and you're the silent. But look, I just that's you can do the same

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