Imagine you are zooming in on the graphs of the followingfunctions near the origin:y =

Chapter 3, Problem 97

(choose chapter or problem)

Imagine you are zooming in on the graphs of the followingfunctions near the origin:y = arcsin x y = sin x tan x y = x sin xy = arctan x y = sin x1 + sin x y = x2x2 + 1y = 1 cos xcos x y = xx2 + 1 y = sin xx 1y = x ln x y = ex 1 y = x10 + 10xy = xx + 1Which of them look the same? Group together thosefunctions which become indistinguishable, and give theequation of the line they look like. [Note: (sin x)/x 1and x ln x never quite make it to the origin.]

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