Question: ? ( 2 ) ( (I) F ) Let Pn be a statement associated with the positive integer n. Suppose for all k 2 1,

 ? ( 2 ) ( (I) F ) Let Pn be

? ( 2 ) ( (I) F ) Let Pn be a statement associated with the positive integer n. Suppose for all k 2 1, Pk4 1 is true whenever PK is true. Then Pn is true for all n E N. principle of mathematics indu tian ( b) ( I (F) If S CN, and S is nonempty, then there is a number ce S such that c 0, there is an r E A such that a - E a and (In - Un| + 0, then yn + a. definitionon downit V (i) F ) If In - a and {yn} is bounded, then Inyn - a. T F ) A bounded above monotone sequence converges. (k ) ((T lim inf In. F ) Let {{n} be a bounded sequence. Then {on } converges if and only if lim sup In =

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