n

a_n

Grenzwert

Grenzwert

Grenzwert + ε

Grenzwert - ε

a(n) = 3 + 1 / n
endwert = 15 (slider from 1 to 50, step 1)
A2 = 1
B2: a(A2)
A3: A2 + 1
B3: a(A3)
A4: A3 + 1
B4: a(A4)
A5: A4 + 1
B5: a(A5)
A6: A5 + 1
B6: a(A6)
A7: A6 + 1
B7: a(A7)
A8: A7 + 1
B8: a(A8)
A9: A8 + 1
B9: a(A9)
A10: A9 + 1
B10: a(A10)
Liste1 = Sequence((i, a(i)), i, 1, endwert)
Liste2 = Sequence(a(i), i, 1, endwert)
ε = 0.4 (slider from 0.001 to 0.5, step 0.001)
gw = Limit(a, Infinity)
b: y = gw
c: (y > gw - ε) ∧ (y  <  gw + ε)
A: (0, gw + ε)
B: (0, gw - ε)