How using Special Maclaurin Series to Solue 11 1 1-Z² 2 Cos 27² (1)
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Q: Which is NOT equivalent to cos2x? 2 cos²x - 1 cos²x - sin² x 2sinxcosx 1-2 sin²x
A: We have identity cos2x=cos2x-sin2xcos2x=1-2sin2xcos2x=2cos2x-1sin2x=2sinx cosx
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- Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+Using that tanx=x+x^3/3+(2/15)x^5+. . ., find the first four terms of Maclaurin series for sec^2x.Express the sum of the power series in terms of geometric series. x + x2 − x3 − x4 + x5 + x6 − x7 − x8 + (Hint: group powers x4n, x4n − 1, etc.)
- Use Theorem Alternating Series remainder to determine the number of terms required to approximate the sum of the series with an error of less than 0.001.Determine the Maclaurin Series of sinx.a. Values of ?(?)0 and its derivatives up to sixth derivatives.b. Summation notation of the Maclaurin Series of sinx.State the test which applies to the series. Consider DCT/LCT as one test.
- How would I find the Maclaurian series for f(x)? (attached)Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. (3n3 + 4)/(7n3 + 2n) from 1 to infinityApply Taylor's expansion and Find the series for tan2x at x=π/4 NOTE: Write in Handwritten Form
