{2/n^2} from n=5 to inf how do we know that this sequence is bounded below by zero?
because 0 cannot be in the denominator
then {(-1)^n+1} from n=1 to inf how do we know that it's bounded below by -1
I don't understand the definitions of both bounded below and above, what exactly it means?
"If there exists a number m such that for every n we say the sequence is bounded below. The number m is sometimes called a lower bound for the sequence." "If there exists a number M such that for every n we say the sequence is bounded above. The number M is sometimes called an upper bound for the sequence." from Paul's online Notes. here is the link if u r intersted: http://tutorial.math.lamar.edu/Classes/CalcII/MoreSequences.aspx
that's what I am reading at the moment :)
thanks anyway
also in simple terms, when they say m is the lower bound, it means no value in the sequence/series can go below the value of m :)
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