Use the Taylor Polynomials for the Sine and Cosine Functions $R(x)=\frac{x^{5}+24 x^{4}-120 x^{3}}{x^{4}-6 x^{2}+120}$

question 34

Multiple Choice

Use the Taylor polynomials for the sine and cosine functions to find a rational function with a degree 5 numerator and no fractional coefficients that approximates the tangent function near 0.

• A) \(R(x)=\frac{x^{5}+24 x^{4}-120 x^{3}}{x^{4}-6 x^{2}+120}\)
• B) \(R(x)=\frac{x^{5}-20 x^{3}+120 x}{5 x^{4}-60 x^{2}+120}\)
• C) \(R(x)=\frac{30 x^{4}-6 x^{2}+120}{-120 x^{3}+x^{5}}\)
• D) \(R(x)=\frac{120 x^{5}-24 x^{3}+x}{30 x^{4}-60 x^{2}+120}\)

Recognize the ethical and professional standards set forth by the CFA Institute.

Understand the process and components of an initial public offering (IPO).

Understand the role of investment banks and private equity in the corporate finance ecosystem.

Differentiate between key securities acts and their provisions.

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