Define a sequence of functions { f n ( x ) } n = 1 {
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Define a sequence of functions {fn(x)}∞n=1 as fn(x)=n2x(1−x)n for x∈[0,1]. Determine whether
\[\lim _{n ightarrow \infty} \int_{0}^{1} f_{n}(x) d x=\int_{0}^{1} \lim _{n ightarrow \infty} f_{n}(x) d x\]
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To determine whether lim n to infty int01 fnx dx int01 lim n to infty fnx dx we need to evaluate the limit of the integrals on both sides and check if ...View the full answer
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