Question: Problem 35. Let (fn) be the sequence of functions defined byfn(x)=(nenx if x 00 if x <0note that fn(x)0. show (use the definition of improper

Problem 35. Let (fn) be the sequence of functions defined byfn(x)=(nenx if x 00 if x <0note that fn(x)0. show (use the definition of improper integralsfrom calculus!)(a) r fn(x)dx =1.(b) if g is a bounded function continuous at x =0, thenlimnz fn(x)g(x)dx =g(0).

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