Question: Show that the function g1(x) := x-1/2sin(1/x) for x [0, 1] and g1(0) := 0 belongs to R*[0, 1]. [Differentiate c1(x) := x3/2cos(1/x) for

Show that the function g1(x) := x-1/2sin(1/x) for x ∈ [0, 1] and g1(0) := 0 belongs to R*[0, 1]. [Differentiate c1(x) := x3/2cos(1/x) for x ∈ [0, 1] and c1(0) := 0.]

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