Όριο από δεξιά

Αρχή

Όριο από αριστερά

Αρχή

f(x) = x^(2) + 2
α = 1.2 (slider from -2 to 2, step 0.05)
g(x) = If[-9 ≤ x ≤ α, f(x)]
Α: (α, f(α))
β = -0.45 (slider from -5 to 5, step 0.05)
h_1(x) = (2 * x) + β
a: x = α
Β = Intersect(h_1, a)
δ_1(x) = If[α ≤ x ≤ 15, h_1(x)]
Θ = Point(xAxis)
Ι: (α, 0)
t = 0 (slider from 0 to 10 - α, step 0.05)
Κ = Point(Circle[Θ, t])
i = Segment(Θ, Κ)
Λ = Point(Circle[Θ, t])
j = Segment(Θ, Λ)
k = Circle(Θ, Λ)
Μ, Ν = Intersect(k, xAxis)
u = Vector(Θ, Μ)
γ = 4.9 (slider from 0 to 10, step 0.05)
Γ: (α, γ)
b = OrthogonalLine(Γ, xAxis)
c = OrthogonalLine(Γ, yAxis)
Δ = Intersect(yAxis, c)
d = Segment(Γ, Ι)
e = Segment(Γ, Δ)
l = OrthogonalLine(Β, yAxis)
Ε = Intersect(d, l)
Ζ = Intersect(l, yAxis)
m = OrthogonalLine(Α, yAxis)
Η = Intersect(m, yAxis)
Ξ = Point(δ_1)
n = Segment(Ξ, Β)
h = 0 (slider from 0 to n, step 0.05)
Ο = Point(Circle[Ξ, h])
p = Segment(Ξ, Ο)
q = Circle(Ξ, Ο)
Π, Φ = Intersect(q, n)
v = Vector(Ξ, Π)
Ρ = Point(xAxis)
o = 0 (slider from 0 to 10 + α, step 0.05)
Σ = Point(Circle[Ρ, o])
r = Segment(Ρ, Σ)
w = Vector(Ρ, Σ)
κείμενο1: "α = " + α + ""
s: y = 12
Χ = Intersect(p, n)
u_1 = Vector(Χ, Φ)
σ = -4 (slider from -4 to α, step 0.05)
f_1(x) = If[-8 ≤ x ≤ σ, f]
Ψ: (σ, f(σ))