help True or False: True T A sequence {an) has the limit L and we write lim/n ri

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True or False: True T A sequence {an) has the limit L and we write lim/n rightarrow infinity an = =L or an rightarrow = L as n rightarrow if we can make the terms an as close to L as we like by taking n sufficiently large. The sequence {al,a2,a3,...} is also denoted by an Let f be a function defined on [1,infinity). If x/lim roghtarrow infinity and f(n) - an when n is an integer, then n/lim rightarrow infinity an = L. The Fibonacci sequence {f/n} is defined recursively by the conditions f1 = 1,f2 = 1,fn = fn-1 + fn-2 If {an bn} is a convergent sequence then {an} and {bn} are convergent sequences and lim /n rightarrow infinity (an bn)= lim/n rightarrow infinity an- lim /n righrarrow infinity bn. Tries 0/30 True or False: If the sequence {rn} is convergent then r if an an b n cn for n 0 and lim /n rightarrow infinity an = lim n rightarrow infinity cn = L, then n lim/rightarrow bn = L If a sequence {an} is bounded above and below then it is called a bounded sequence. A sequence {an} is called increasing if an

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