Geometrische Reihe

\int_{1}^{∞}{\frac{1}{x^a} dx} \text{ anzeigen}

\int_{2}^{∞}{\frac{1}{(x-1)^a} dx} \text{ anzeigen}

n = 10 (slider from 1 to 100, step 1)
a = 1 (slider from 0 to 3, step 0.1)
f(x) = If[0 ≤ x ≤ Infinity, 1 / x^(a)]
A = RectangleSum(f, 1, n + 1, n, 0)
l1 = Sequence((i, f(i)), i, 1, n)
l2 = Sequence((y(Sum[l1, i]), 0), i, 1, n + 1)
sumtext: "\sum_{k=1}^{" + (LaTeX[n]) + "}{\frac{1}{k^{" + (LaTeX[a]) + "}}}=" + (LaTeX[A]) + ""
F = Integral(f, 1, 1000000)
f_{2}(x) = If[x ≥ 1, 1 / (x - 1)^(a)]
F_{2} = Integral(f_{2}, 2, 1000000)
b = true
c = false