* Consider a piecewise linear interpolation of exp(x), O<=x<=2, with h=0.01; that is, split [0,2] into small windows [0,0.01], [0.01,0.02], ..., [1.99, 2], and for each x, let the approximated function interpolate the two end points of the window in which x lies. Find a bound of the error of this interpolation on [0,2].

* Consider a piecewise linear interpolation of exp(x), O<=x<=2, with h=0.01; that is, split [0,2] into small windows [0,0.01], [0.01,0.02], ..., [1.99, 2], and for each x, let the approximated function interpolate the two end points of the window in which x lies. Find a bound of the error of this interpolation on [0,2].

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 16CM

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