Question: Show that the function g1(x) := x-1/2sin(1/x) for x (0, 1) and g1(0) := 0 belongs to L[0, 1]. (This function was also considered

Show that the function g1(x) := x-1/2sin(1/x) for x ∈ (0, 1) and g1(0) := 0 belongs to L[0, 1]. (This function was also considered in Exercise 10.1.15.)

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