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Let f:[a,b]->R be a bounded function on a closed interval a,b , let P={x_(0),x_(1),dots,x_(n)} be a partition of a,b , and let d be a
Let
f:[a,b]->R
be a bounded function on a closed interval
a,b
, let
P={x_(0),x_(1),dots,x_(n)}
be a partition of
a,b
, and let
d
be a real number such that
f(x) for all
xin[a,b]
.\ (a). Given any
iin{1,2,dots,n}
, show that
l_(i), with the
2. Let f:[a,b]R be a bounded function on a closed interval [a,b], let P={x0,x1,,xn} be a partition of [a,b], and let d be a real number such that f(x)d for all x[a,b]. (a). Given any i{1,2,,n}, show that i
Let
f:[a,b]->R
be a bounded function on a closed interval
a,b
, let
P={x_(0),x_(1),dots,x_(n)}
be a partition of
a,b
, and let
d
be a real number such that
f(x) for all
xin[a,b]
.\ (a). Given any
iin{1,2,dots,n}
, show that
l_(i), with the
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