Limit Comparison Test : Statement & Proof : Infinite Series #limit #comparison #test #statement #and #proof #infinite #series
Limit comparison test :
Statement :
If ÎŁun and ÎŁvn
are two series of non-negative terms such that
lim (un/vn) = l. Then
a) If l ≠ 0, then ÎŁun and ÎŁvn
converge or diverge together and
b)
If l = 0 and if ÎŁvn convergent then ÎŁun
convergent .
P Proof
#limit #comparison #test #statement #and #proof #infinite #series



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