Maclaurin Series for sinh(x): What are the first three non-zero terms?

Thread starter eddysd
Start date Aug 5, 2010
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The first three non-zero terms of the Maclaurin series expansion for sinh(x) are x, 1/6 x^3, and 1/120 x^5. This series accurately represents the function near x = 0. Users confirmed the correctness of these terms, and verification through Google was suggested. The discussion emphasizes the importance of understanding series expansions in calculus. The Maclaurin series provides a useful approximation for sinh(x) in mathematical analysis.

Aug 5, 2010

eddysd

Determine the first three non-zero terms of the Maclaurin’s series expansion for:
f (x) = sinh(x)

Would the answer to this be: x + 1/6x^3 + 1/120x^5

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Aug 5, 2010

owlpride

That is correct. (You could also check your answer via Google.)

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