I'm trying to understand how to do pointwise limits a)f_n(x)=nx/(1+nx^2) b)g_n(x)=(nx+sin(nx))/2n lim[1/2+sin(nx)/2n)] c)h_n(x)=x/(1+x^n) d)f_n(x)=1 if |x|>=1/n =n|x| if |x|<1/n
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When you study pointwise limits, is a constant. For example Also, you can conclude the convergence isn't uniform on 'cause each is continuous but the limit is not continuous.
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