test 2

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Unformatted text preview: Next: About this document ... TEST 2 (MAT 370) ASU ID:..................................NAME:.................................. 1. How one can define each of the following functions at continuous at Function 1: so that the resulted function is Function 2: Function 3: 2. Determine where the following functions are continuous and where they are discontinuous. 3. Prove that the Dirichlet function is discontinuous at each 4. Prove that the Riemann function is discontinuous at each rational and continuous at each irrational 5. Calculate the derivative for each of the following functions. 6. Prove that for we have where 7. Calculate the integrals. 8. Determine whether the series is convergent, absolutely convergent or divergent. • About this document ... Next: About this document ... Sergey Nikitin 2008-10-14 ...
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