Consider the <em>k</em>-th partial sum,
More compactly,
(this is just another case of a similar sum you asked about a while ago [24494877])
The infinite sum is the limit of the partial sum as <em>k</em> goes to infinity. We have
since the non-constant terms in the limit converge to 0.
Alternatively, recall that for |<em>x</em>| < 1, we have
Differentiating both sides gives
also valid for |<em>x</em>| < 1. Take <em>x</em> = 1/<em>π</em> and you get the sum you want to compute.
$50.08, I think. Because you can substitute 3x = $75.12 and solve for x
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He needs to score between 3.5 points more at the next game to make it to the all tournament team at the minimum. good luck with the question!!
Answer:
Whereas the vertex of the graph of the function f(x) = x^2 is (0, 0), the vertex of the graph of the function g(x) = -8x + x^2 + 7 = (4, -9).
The vertex of the graph of the function g(x) = -8x + x^2 + 7 is 4 units to the right and 9 units down of the vertex of the graph of the function f(x) = x^2.
Step-by-step explanation:
Answer:<u>47.1</u>
Step-by-step explanation:6.28/4=x/30
188.4=4x
47.1=x
