hw6 - x n → x then √ x n → √ x Hint Consider cases...

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MATH 444: ELEMENTARY REAL ANALYSIS HOMEWORK 6 Due date: Oct 8 (Wed) Exercises from the textbook. 3.3: 9 3.4: 2; 5; 9; 10; 11; 14; 17 Out-of-textbook exercises. 1. Let ( x n ) be a sequence of non-negative reals. Prove that if
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Unformatted text preview: x n → x , then √ x n → √ x . Hint : Consider cases x = 0 and x > 0 separately. In the second case, use conjugates....
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