Question: Use the nth Term Divergence Test (Theorem 4) to prove that the following series diverge. THEOREM 4 If f is continuous and lim an =

Use the nth Term Divergence Test (Theorem 4) to prove that the following series diverge.

THEOREM 4 If f is continuous and lim an = = L, then 81x lim f(a) = f(lim an) 11-0 815 In) = . (L) In other


00 n=1 n 10n + 12

THEOREM 4 If f is continuous and lim an = 81x = L, then lim fan)=f(lim an) 11-0 In) = . (L) In other words, we may pass a limit of a sequence inside a continuous function. 815

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