had

lim

x---

x

r.pilevar  ⧫⧫⧫ math-rp.ir

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حد راست

x

حد چپ

f(x) = x^(2) + 1
x_{0}: 1
inputBox1 = Textfield(f)
inputBox2 = Textfield(x_{0})
a = Limit(f, x_{0})
text1: "=" + a + ""
B1: f
A2: x_{0} + 1
B2: f(A2)
C2: (A2, B2)
D2: (A2, 0)
E2: (0, B2)
F2 = Segment(C2, D2)
G2 = Segment(C2, E2)
c = 21 (slider from 1 to 21, step 1)
A3: A2 - 0.05
B3: f(A3)
A4: A3 - 0.0500000000000002
B4: f(A4)
A5: A4 - 0.0500000000000002
B5: f(A5)
A6: A5 - 0.0500000000000002
B6: f(A6)
A7: A6 - 0.0500000000000002
B7: f(A7)
A8: A7 - 0.0500000000000002
B8: f(A8)
A9: A8 - 0.0500000000000002
B9: f(A9)
A10: A9 - 0.0500000000000002
B10: f(A10)
A11: A10 - 0.0500000000000002
B11: f(A11)
A12: A11 - 0.0500000000000002
B12: f(A12)
A13: A12 - 0.0500000000000002
B13: f(A13)
A14: A13 - 0.0500000000000002
B14: f(A14)
A15: A14 - 0.0500000000000002
B15: f(A15)
A16: A15 - 0.0500000000000002
B16: f(A16)
A17: A16 - 0.0500000000000002
B17: f(A17)
A18: A17 - 0.0500000000000002
B18: f(A18)
A19: A18 - 0.0500000000000002
B19: f(A19)
A20: A19 - 0.0500000000000002
B20: f(A20)
A21: A20 - 0.0500000000000002
C3: (A3, B3)
D3: (A3, 0)
E3: (0, B3)
F3 = Segment(C3, D3)
G3 = Segment(C3, E3)
C4: (A4, B4)
D4: (A4, 0)
E4: (0, B4)
F4 = Segment(C4, D4)
G4 = Segment(C4, E4)
C5: (A5, B5)
D5: (A5, 0)
E5: (0, B5)
F5 = Segment(C5, D5)
G5 = Segment(C5, E5)
C6: (A6, B6)
D6: (A6, 0)
E6: (0, B6)
F6 = Segment(C6, D6)
G6 = Segment(C6, E6)
C7: (A7, B7)
D7: (A7, 0)
E7: (0, B7)
F7 = Segment(C7, D7)
G7 = Segment(C7, E7)
C8: (A8, B8)
D8: (A8, 0)
E8: (0, B8)
F8 = Segment(C8, D8)
G8 = Segment(C8, E8)
C9: (A9, B9)
D9: (A9, 0)
E9: (0, B9)
F9 = Segment(C9, D9)
G9 = Segment(C9, E9)
C10: (A10, B10)
D10: (A10, 0)
E10: (0, B10)
F10 = Segment(C10, D10)
G10 = Segment(C10, E10)
C11: (A11, B11)
D11: (A11, 0)
E11: (0, B11)
F11 = Segment(C11, D11)
G11 = Segment(C11, E11)
C12: (A12, B12)
D12: (A12, 0)
E12: (0, B12)
F12 = Segment(C12, D12)
G12 = Segment(C12, E12)
C13: (A13, B13)
D13: (A13, 0)
E13: (0, B13)
F13 = Segment(C13, D13)
G13 = Segment(C13, E13)
C14: (A14, B14)
D14: (A14, 0)
E14: (0, B14)
F14 = Segment(C14, D14)
G14 = Segment(C14, E14)
C15: (A15, B15)
D15: (A15, 0)
E15: (0, B15)
F15 = Segment(C15, D15)
G15 = Segment(C15, E15)
C16: (A16, B16)
D16: (A16, 0)
E16: (0, B16)
F16 = Segment(C16, D16)
G16 = Segment(C16, E16)
C17: (A17, B17)
D17: (A17, 0)
E17: (0, B17)
F17 = Segment(C17, D17)
G17 = Segment(C17, E17)
C18: (A18, B18)
D18: (A18, 0)
E18: (0, B18)
F18 = Segment(C18, D18)
G18 = Segment(C18, E18)
C19: (A19, B19)
D19: (A19, 0)
E19: (0, B19)
F19 = Segment(C19, D19)
G19 = Segment(C19, E19)
C20: (A20, B20)
D20: (A20, 0)
E20: (0, B20)
F20 = Segment(C20, D20)
G20 = Segment(C20, E20)
B21: f(A21)
C21: (A21, B21)
D21: (A21, 0)
E21: (0, B21)
F21 = Segment(C21, D21)
G21 = Segment(C21, E21)
r: {1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0}
g: {0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1}
b: {0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0}
red = Sequence(If[c > i, Element[r, i], 1], i, 1, 20)
green = Sequence(If[c > i, Element[g, i], 1], i, 1, 20)
blue = Sequence(If[c > i, Element[b, i], 1], i, 1, 20)
u = Vector(D2, D14)
A: (x_{0}, 0)
e = true
I1: f
H2: x_{0} - 1
I2: f(H2)
J2: (H2, I2)
K2: (H2, 0)
L2: (0, I2)
M2 = Segment(J2, K2)
N2 = Segment(J2, L2)
H3: H2 + 0.05
I3: f(H3)
J3: (H3, I3)
K3: (H3, 0)
L3: (0, I3)
M3 = Segment(J3, K3)
N3 = Segment(J3, L3)
H4: H3 + 0.0500000000000002
I4: f(H4)
J4: (H4, I4)
K4: (H4, 0)
L4: (0, I4)
M4 = Segment(J4, K4)
N4 = Segment(J4, L4)
H5: H4 + 0.0500000000000002
I5: f(H5)
J5: (H5, I5)
K5: (H5, 0)
L5: (0, I5)
M5 = Segment(J5, K5)
N5 = Segment(J5, L5)
H6: H5 + 0.0500000000000002
I6: f(H6)
J6: (H6, I6)
K6: (H6, 0)
L6: (0, I6)
M6 = Segment(J6, K6)
N6 = Segment(J6, L6)
H7: H6 + 0.0500000000000002
I7: f(H7)
J7: (H7, I7)
K7: (H7, 0)
L7: (0, I7)
M7 = Segment(J7, K7)
N7 = Segment(J7, L7)
H8: H7 + 0.0500000000000002
I8: f(H8)
J8: (H8, I8)
K8: (H8, 0)
L8: (0, I8)
M8 = Segment(J8, K8)
N8 = Segment(J8, L8)
H9: H8 + 0.0500000000000002
I9: f(H9)
J9: (H9, I9)
K9: (H9, 0)
L9: (0, I9)
M9 = Segment(J9, K9)
N9 = Segment(J9, L9)
H10: H9 + 0.0500000000000002
I10: f(H10)
J10: (H10, I10)
K10: (H10, 0)
L10: (0, I10)
M10 = Segment(J10, K10)
N10 = Segment(J10, L10)
H11: H10 + 0.0500000000000002
I11: f(H11)
J11: (H11, I11)
K11: (H11, 0)
L11: (0, I11)
M11 = Segment(J11, K11)
N11 = Segment(J11, L11)
H12: H11 + 0.0500000000000002
I12: f(H12)
J12: (H12, I12)
K12: (H12, 0)
L12: (0, I12)
M12 = Segment(J12, K12)
N12 = Segment(J12, L12)
H13: H12 + 0.0500000000000002
I13: f(H13)
J13: (H13, I13)
K13: (H13, 0)
L13: (0, I13)
M13 = Segment(J13, K13)
N13 = Segment(J13, L13)
H14: H13 + 0.0500000000000002
I14: f(H14)
J14: (H14, I14)
K14: (H14, 0)
L14: (0, I14)
M14 = Segment(J14, K14)
N14 = Segment(J14, L14)
H15: H14 + 0.0500000000000002
I15: f(H15)
J15: (H15, I15)
K15: (H15, 0)
L15: (0, I15)
M15 = Segment(J15, K15)
N15 = Segment(J15, L15)
H16: H15 + 0.0500000000000004
I16: f(H16)
J16: (H16, I16)
K16: (H16, 0)
L16: (0, I16)
M16 = Segment(J16, K16)
N16 = Segment(J16, L16)
H17: H16 + 0.0500000000000004
I17: f(H17)
J17: (H17, I17)
K17: (H17, 0)
L17: (0, I17)
M17 = Segment(J17, K17)
N17 = Segment(J17, L17)
H18: H17 + 0.0500000000000004
I18: f(H18)
J18: (H18, I18)
K18: (H18, 0)
L18: (0, I18)
M18 = Segment(J18, K18)
N18 = Segment(J18, L18)
H19: H18 + 0.0500000000000004
I19: f(H19)
J19: (H19, I19)
K19: (H19, 0)
L19: (0, I19)
M19 = Segment(J19, K19)
N19 = Segment(J19, L19)
H20: H19 + 0.0500000000000006
I20: f(H19)
J20: (H20, I20)
K20: (H20, 0)
L20: (0, I20)
M20 = Segment(J20, K20)
N20 = Segment(J20, L20)
H21: H20 + 0.0500000000000006
I21: f(H21)
J21: (H21, I21)
K21: (H21, 0)
L21: (0, I21)
M21 = Segment(J21, K21)
N21 = Segment(J21, L21)
J1: f
v = Vector(K2, K15)
d = false