Consider a bounded function f [a, b] → R and a partition P = U(f, P) ≥ U(f, Q) and L(f, P) ≤ L(f, Q). PROPOSITION of [a, b]. If Q is a refinement of P, then {xo, x1, x2,..., Xn}

Q: 1 = 1 +x+x?+ 1-x Ex", I지<1 n=0 1 = 1-x+x2- ... + (-x)"+ 1+x E(-1)"x", x|<1 n=0 x2 ex = 1+x+ 2! x"…

A: use e^x expension

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A:

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A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

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A: find the sum of the given series

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A: Answer

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A: The formula to find the sum of the geometric mean of infinite series is given by S=a1-r The first…

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A: Sum of infinite series.