(See Solution) Imagine you are zooming in on the graphs of the following functions near the origin: y= arcsin x y= sin x- tan x y=x- sin x y= arctan x y=(sin
Question: Imagine you are zooming in on the graphs of the following functions near the origin:
\(y=\arcsin x\) \(y=\sin x-\tan x\) \(y=x-\sin x\)
\(y=\arctan x\) \(y=\frac{\sin x}{1+\sin x}\) \(y=\frac{{{x}^{2}}}{{{x}^{2}}+1}\)
\(y=\frac{1-\cos x}{\cos x}\) \(y=\frac{x}{{{x}^{2}}+1}\) \(y=\frac{\sin x}{x}-1\)
\[y=-x\ln x\] \[y=-{{e}^{x}}-1\] \[y={{x}^{10}}+\sqrt[10]{x}\]\(y=\frac{x}{x+1}\)
Which one of them look the same? Group together those function which become indistinguishable, and give the equation of the line they look like. [Note: (sin x)/x-1 and –x ln x never quite make the origin.]
Deliverable: Word Document 
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[Solution] Financial economists define a security’s systematic
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