Let f be an extended real-valued measurable function on a measurable set D. For M, M...

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Let f be an extended real-valued measurable function on a measurable set D. For M₁, M₂ € R, M₁ M₂, let the truncation of f at M₁ and My be defined by [M₁ g(x)=f(x) M₂ Show that g is measurable on D. if f(x) < M₁ if M₁ ≤ f(x) ≤ M₂ if f(x) > M₂. Let f be an extended real-valued measurable function on a measurable set D. For M₁, M₂ € R, M₁ M₂, let the truncation of f at M₁ and My be defined by [M₁ g(x)=f(x) M₂ Show that g is measurable on D. if f(x) < M₁ if M₁ ≤ f(x) ≤ M₂ if f(x) > M₂.

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