2\varepsilon

2\delta

x_0

Show P

f(x_0)

f(x)

x

\text{Limite en un point }x_0

show

P = (2, 2)
ε = 0.26 (slider from 0 to 1, step 0.01)
δ = 0.84 (slider from 0 to 1, step 0.01)
PNE: (x(P) + δ, y(P) + ε)
PSE: (x(P) + δ, y(P) - ε)
PNW: (x(P) - δ, y(P) + ε)
PSW: (x(P) - δ, y(P) - ε)
q1, pnw, pne, pse, psw = Polygon(PNW, PNE, PSE, PSW)
PW: (x(P) - δ, y(P))
u = Vector(PW, PNW)
v = Vector(PW, PSW)
PS: (x(P), y(P) - ε)
w = Vector(PS, PSE)
a = Vector(PS, PSW)
f(x) = 2 + ((5 * (x - 2)) * sin(0.1 / sqrt(abs(x - 2))))
X = Point(xAxis)
XFX: (x(X), f(x(X)))
g = Segment(XFX, X)
b = true
A = Point(xAxis)
IMA: (x(A), f(x(A)))
h = Segment(IMA, A)
PNWY: (0, y(PNW))
PSWY: (0, y(PSW))
PSWX: (x(PSW), 0)
PSEX: (x(PSE), 0)
i = Segment(PNWY, PNW)
j = Segment(PSWY, PSW)
k = Segment(PSE, PSEX)
l = Segment(PSW, PSWX)
L: (0, 2)
m = Segment(P, L)
c = false
n = Segment(P, X)