For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 f[xo] = 1 f[x₂] = -1 f[xo, x₁] = -2 cr

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For a given function f(x), the divided-differences table is given by:
Xo = 0
x₁ = 1
x₂ = 2
f[xo] = 1
f[x₂] = -1
f[x₂] = 3
An approximation of f(0.5) is:
O -0.75
O -4.25
O -0.375
O -0.25
f[xo, x₁] = -2
f[x₁, x₂] = 4
f[x0, x1, x₂] = 3.
Transcribed Image Text:For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 x₂ = 2 f[xo] = 1 f[x₂] = -1 f[x₂] = 3 An approximation of f(0.5) is: O -0.75 O -4.25 O -0.375 O -0.25 f[xo, x₁] = -2 f[x₁, x₂] = 4 f[x0, x1, x₂] = 3.
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