Show that the function g2(x) := (l/x) sin(l/x) for x E (0, 1] and g2(0) := 0 belongs
Chapter 10, Problem 16(choose chapter or problem)
Show that the function g2(x) := (l/x) sin(l/x) for x E (0, 1] and g2(0) := 0 belongs to'R.*[O,1]. [Hint: Differentiate C2(x) := x cos(l/x) for x E (0, 1] and C2(0) := 0, and use theresult for the cosine function that corresponds to Exercise 7.2.12.]
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