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11 gru 2017 · Learn how to derive and use the Taylor series expansion of sin (x) at x = 0. See answers, explanations, and examples from experts and users on this math forum.
- 2x^2
I get $$2x^2-(4/3)x^6 + \cdots$$ and I can't figure out why...
- 2x^2
Learn how to express trigonometric functions of nx in terms of x or kx using various formulas and proofs. See examples of sin (nx), cos (nx) and tan (nx) expansions for different values of n and k.
Find the Taylor series expansion for sin(x) at x = 0, and determine its radius of convergence.
Taylor’s Series of sin x. In order to use Taylor’s formula to find the power series expansion of sin x we have to compute the derivatives of sin(x): sin (x) = cos(x) sin (x) =. − sin(x) sin (x) =. − cos(x) sin(4)(x) = sin(x). Since sin(4)(x) = sin(x), this pattern will repeat.
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In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point.
Expand sin [x] Natural Language. Math Input. Extended Keyboard. Examples. Upload. Have a question about using Wolfram|Alpha? Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals.
