Question: Here is the problem I need help with numerical analysis, Romberg integration: 2 (a) Show that 1 00 / m'mda: = Z n' 0 n=1

Here is the problem I need help with numerical analysis, Romberg integration:

2 (a) Show that 1 00 / m'mda: = Z n'\" 0 n=1 (b) Use the sum in (a) to evaluate the integral in (a) to 12-digit accuracy. (c) Evaluate the integral in (a) by Romberg integration to 17 2, and 3-digit accuracy. Estimate how many function evaluations Romberg integration Will require to achieve pdigit accuracy for 1 S p S 12. Explain the agreement or disagreement of your results With theory

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