Find the Taylor Series For $\sin x-\cos x$
A) $1+x-\frac{x^{2}}{2 !}-\frac{x^{3}}{3 !}+\frac{x^{4}}{4 !}+\frac{x^{5}}{5 !}-\cdots$

question 20

Multiple Choice

Find the Taylor series for $\sin x-\cos x$ .

• A) \(1+x-\frac{x^{2}}{2 !}-\frac{x^{3}}{3 !}+\frac{x^{4}}{4 !}+\frac{x^{5}}{5 !}-\cdots\)
• B) \(1-x-\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\frac{x^{4}}{4 !}-\frac{x^{5}}{5 !}-\cdots\)
• C) \(-1+x+\frac{x^{2}}{2 !}-\frac{x^{3}}{3 !}-\frac{x^{4}}{4 !}+\frac{x^{5}}{5 !}+\ldots\)
• D) \(-1-x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}-\frac{x^{4}}{4 !}-\frac{x^{5}}{5 !}+\ldots\)

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