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1. For n exists in R, we define the function f by f(x)=x^n, x exists in...

1. For n exists in R, we define the function f by f(x)=x^n, x exists in (0,1), and f(x):=0 otherwise. For what value of n is f integrable?

2. For m exists in R, we define the function g by g(x)=x^m, x exists in (1,infinite), and g(x):=0 otherwise. For what value of m is g integrable?

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