HW4_Soln.pdf - Math 104 Solutions to Homework#4 1 Prove...

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Math 104. Solutions to Homework #4 1. Prove that if { x n } is a sequence that is monotone increasing and unbounded, then lim n →∞ x n = . (This completes the proof of a theorem given in class on Friday, Feb. 2.)
2. Exercise 2.2.4 (page 63). Suppose that x 1 = 1 2 and x n +1 = x 2 n . Show that { x n } converges and find lim x n . Hint: You cannot divide by zero!

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