Question: 0 Let f:(a,b)R is a bounded function and cin(a,b). Show that the two notions of lim?supxcf(x)A=sup{:=limnf(xn);limnxn=c}B=limnsupxin[c-1n,c1n]f(x)coincide. That is, prove that A=B.

0 Let f:(a,b)R is a bounded function and cin(a,b). Show that the two notions of lim?supxcf(x)A=sup{:=limnf(xn);limnxn=c}B=limnsupxin[c-1n,c1n]f(x)coincide. That is, prove that A=B.

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