Use the Integral Test to determine whether the series is convergent or divergent.n=1ne-14nStep 1In order to apply the Integral Test for the function f(x)on the interval [a,),it must be true that (Select all that apply.)f must be continuous.f must be differentiable.f must be positive.f must be negative.f must be increasing.f must be decreasing.Step 2For n=1ne-14n,f(x)=xe-14xis continuous, positive, and decreasing on[1,).We consider the following.Using integration-by-parts with u=x and dv=e-14xdx,we get1xe-14xdx=limb[,]1b