Formal Limit of a Sequence

y = L

epsilon =

y = L + epsilon =

y = L - epsilon =

epsilon

epsilon

limit = L =

22222222222222222222222222222222222222222
2
2
2

a_k =

a(k) = ((3 * k) + 1) / (k + 5)
L = 3 (slider from -5 to 5)
g: y = L
c = 1 (slider from -5 to 5)
epsilon: 0.5
InputBox4 = Textfield(epsilon)
h: y = L + epsilon
p: y = L - epsilon
A: (0, L + epsilon)
B: (0, L - epsilon)
C: (0, L)
u = Vector(C, A)
v = Vector(C, B)
InputBox3 = Textfield(L)
M = Point(xAxis)
eq2: x = x(M)
d: x(M)
text1: "M = " + d + ""
b(x, y) = y < L + epsilon ∧ y > L - epsilon ∧ x > x(M)
InputBox1 = Textfield(a)
l1 = Sequence((k, a(k)), k, 1, 100)
text3 = LaTeX(a, true, true)