Question: a). Four equidistant values 1, 0, 1 2 being given, a value is interpolated by Lagrange`s interpolation formula. Show that it may be written in

a). Four equidistant values 1, 0, 1 2 being given, a value is interpolated by

Lagrange`s interpolation formula. Show that it may be written in the form

= 0 + 1 +

(

2 + 1)

3!

2 1 +

(

2 + 1)

3!

2 0

+ = 1

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