?Find the approximations \(L_{n}, R_{n}, T_{n}\), and \(M_{n}\) for \(n=5\), 10 , and 20

Chapter 7, Problem 26

(choose chapter or problem)

Find the approximations \(L_{n}, R_{n}, T_{n}\), and \(M_{n}\) for \(n=5\), 10 , and 20 . Then compute the corresponding errors \(E_{L}, E_{R}, E_{T}\), and \(E_{M}\). (You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when \(n\) is doubled?

\(\int_{1}^{2} \frac{1}{x^{2}} d x\)

Equation  Transcription:

Text Transcription:

L_{n}, R_{n}, T_{n}

M_{n}

n=5

 E_{L}, E_{R}, E_{T}

E_{M}

n

int 1 2 1/x^2 dx