The function f(x) = 1/(x+1) is given. Using the points x0 =0, x1 =0.3, x2 =0.4, x3 =0.5; a) Write the P3(x) Lagrangian interpolation polynomial ; b) Calculate the value of f(0.2) and P3(0.2); c)Determine the upper limit of error at x= 0.2 using the remainder term expression
The function f(x) = 1/(x+1) is given. Using the points x0 =0, x1 =0.3, x2 =0.4, x3 =0.5; a) Write the P3(x) Lagrangian interpolation polynomial ; b) Calculate the value of f(0.2) and P3(0.2); c)Determine the upper limit of error at x= 0.2 using the remainder term expression
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function f(x) = 1/(x+1) is given. Using the points x0 =0, x1 =0.3, x2 =0.4, x3 =0.5;
a) Write the P3(x) Lagrangian interpolation polynomial ;
b) Calculate the value of f(0.2) and P3(0.2);
c)Determine the upper limit of error at x= 0.2 using the remainder term expression;
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