Given the following values f(1.0) = 1.00000, f(1.2) = 1.55271, f(1.4) = 2.61170, f(1.1) = 1.23368, f(1.3) = 1.99372, (a) construct a Lagrange interpolating polynomial to approximate f(1.25) (b) find a bound for the error in the approximation given that the function being approximated is f(x) = e*²–1.

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