Real Analysis Conception Question 1. Lemma: if P is a subset of Q, then L(f,p)<=L(f,Q) and...

Real Analysis Conception Question

1. Lemma: if P is a subset of Q, then L(f,p)<=L(f,Q) and U(f,P)>=U(f,Q)

why??? for P is a subset of Q, however, why the upper sum of U(f,P) is even bigger than or equal to U(f,Q) it doesn't make any sense. Please

draw the geometric description to help with clear hand written

2. Let's assume the partition={x0,x1...xn} of the interval [a,b]

what is the diference between m=inf{f(x):x is a element of [a,b]} and mk=inf{f(x):x is a element of [xk-1,xk]}

Expert Solution

Colby Messinger answered 2 years ago

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