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5. Suppose (an)nEN is a sequence such that |an+1- en| 5. Suppose (an)nN is a sequence such that lan+l anl < N. Show that limnex

5. Suppose (an)nEN is a sequence such that |an+1- en| <: e n. show that limaa an must exist and is in re. you can use the fact la j="without" proof>

5. Suppose (an)nN is a sequence such that lan+l anl < N. Show that limnex an must exist and is in R. You can use the fact that lim = 2 without proof

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