[PDF] Real Analysis Math 125A, Fall 2012 Sample Final Questions
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Real Analysis. Math 125A, Fall 2012. Sample Final Questions. 1. Define f : R → R by f(x) = x3. 1 + x2 . Show that f is continuous on R. Is f uniformly ...
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Real Analysis. Math 125A, Fall 2012. Sample Final Questions. 1. Define f : R → R by f(x) = x3. 1 + x2 . Show that f is continuous on R. Is f uniformly ...
This is a 180-minute exam. No notes, books, or calculators are permitted. Point values. (out of 100) are indicated for each problem.
Exercise 1.5.9. A real number x ∈ R is called algebraic if there exist integers a0,a1,a2,...,an ∈ Z, not all zero, such that anxn + an−1xn−1 + ··· + a1x ...