Solved

Find the Taylor Series For sinxcosx\sin x-\cos x
A) 1+xx22!x33!+x44!+x55!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 sinxcosx\sin x-\cos x .


A) 1+xx22!x33!+x44!+x55!1+x-\frac{x^{2}}{2 !}-\frac{x^{3}}{3 !}+\frac{x^{4}}{4 !}+\frac{x^{5}}{5 !}-\cdots
B) 1xx22!+x33!+x44!x55!1-x-\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\frac{x^{4}}{4 !}-\frac{x^{5}}{5 !}-\cdots
C) 1+x+x22!x33!x44!+x55!+-1+x+\frac{x^{2}}{2 !}-\frac{x^{3}}{3 !}-\frac{x^{4}}{4 !}+\frac{x^{5}}{5 !}+\ldots
D) 1x+x22!+x33!x44!x55!+-1-x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}-\frac{x^{4}}{4 !}-\frac{x^{5}}{5 !}+\ldots

Correct Answer:

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