Ma3A_Ch2_Act7_CalculLimDef
Author: Hilary Risser

This applet demonstrates the delta definition of a limit.

Set the value of epsilon to 0.3.  What value of delta will result in the correct answer?

a=

L=

f(x)=

ε = 0.173 (slider from 0 to 0.4, step 0.001)
c: 3
f(x) = x
δ = 0.27 (slider from 0 to 0.4, step 0.01)
L: 6
k(x) = L - ε
A: (c + δ, 0)
B: (c - δ, 0)
a = OrthogonalLine(B, xAxis)
b = OrthogonalLine(A, xAxis)
Z_1 = Corner(1)
Z_3 = Corner(3)
h(x) = L + ε
E_1: (x(Z_1), h(x(Z_1)))
E_2: (x(Z_1), k(x(Z_1)))
E_3: (x(Z_3), k(x(Z_3)))
E_4: (x(Z_3), h(x(Z_3)))
poly1, e_1, e_2, e_3, e_4 = Polygon(E_1, E_2, E_3, E_4)
D_1: (x(B), y(Z_1))
D_2: (x(A), y(Z_1))
D_3: (x(A), y(Z_3))
D_4: (x(B), y(Z_3))
poly2, d_1, d_2, d_3, d_4 = Polygon(D_1, D_2, D_3, D_4)
c_1: x = c
d: y = L
inputBox1 = Textfield(c)
inputBox2 = Textfield(L)
inputBox3 = Textfield(f)