(a) State explicitly the version of Definition 2 that applie
Question and Solution
(a) State explicitly the version of Definition 2 that applies to a function f of a single variable x. (b) Let f be a fun
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(a) State explicitly the version of Definition 2 that applies to a function f of a single variable x. (b) Let f be a function with domain the set of numbers 1=n for n D 1; 2; 3; : : : and having values given by f .1=n/ D .n ? 1/=n. According to part (a) does limx!1 f .x/ exist? What about limx!0 f .x/? Evaluate whichever of these limits does exist. (c) Which of the two limits in .b/ exist by Definition 8 in Section 1.5?
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