$\epsilon$

g

g-

g

vorgegebene Streifenbreite:

vermuteter Grenzwert:

ermittelte Platznummer:

aktuelles Folgenglied:

Abstand zum Grenzwert:

a_n =

$ε =$

\epsilon =

g =

betrachtete Folge:

g + \epsilon

g - \epsilon

n_0

M3: {3, 7, 15, 31, 63}
h(x) = floor(log(2, x))
M: 2^(Sequence[0, 7])
f(n) = 1 / n
s = Segment((5.5, 0), (94.5, 0))
G = Point(yAxis)
e = Ray(G, G + (0, 1))
e0 = 0.4 (slider from 0 to 2, step 0.01)
Eo: (0, e0)
g: y(G)
S = Sequence((i, 0), i, 1, 100)
N0 = Point(S)
N = Point(S)
Eu: (0, g - e0)
Eu100: Eu + (100, 0)
Eo100: Eo + (100, 0)
G1: G + (1, 0)
a: abs(f(x(N)) - g)
fGG1 = Ray(G, G1)
F = Sequence((i, f(i)), i, 1, 100)
U = Min(g - 2, -2)
Eo1: Eo + (1, 0)
Eu1: Eu + (1, 0)
sOben = Ray(Eo, Eo1)
sUnten = Ray(Eu, Eu1)
j = OrthogonalLine(N0, xAxis)
f_{1} = 1 (slider from -5 to 5)
Fn: (x(N), f(x(N)))
k = Line(Fn, N)
A = Intersect(fGG1, k)
l1 = Segment(Fn, A)
Text9: "g = " + g + ""
Text11: "n_0 = " + (x(N0)) + ""
Eingabefeld1 = Textfield(f)
n: x(N)
an: y(Fn)
Text16: "a_{" + n + "}=" + an + ""
Text17: "a_{" + n + "}=" + an + ""
I2 = Segment(Fn, A)
Eingabefeld2 = Textfield(e0)
Eingabefeld3 = Textfield(g)
Text13: "a_{n} = " + (f(x(N))) + ""
Text18: "|a_n - g| = " + a + ""
Text15: "|a_n - g| = " + a + ""
n0: x(N0)
R = 11.5
L = -0.5
Fg = Sequence(If[abs(f(i) - g) < e0, (i, f(i))], i, 1, 100)
Fk = Sequence(If[abs(f(i) - g) ≥ e0, (i, f(i))], i, 1, 100)
Streifen(x, y) = x ≥ n0 ∧ g - e0 < y < g + e0
Text5: "n = " + n + ""
Text4: "n_0 = " + n0 + ""
Text19: "n = " + n + ": a_n = " + an + ""
Links: (L + 1, -1.5)
Rechts: (R - 1, -1.5)
O: 2
b = false