Hi, can anyone give me a hand with this question, i honestly dont know what to do!! Prove that lim (n tends to infinity) 1/an = 0 when an is a sequence with an > 0 for n being natural, and lim (n tends to infinity) an = infinity.
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Originally Posted by Bexii Hi, can anyone give me a hand with this question, i honestly dont know what to do!! Prove that lim (n tends to infinity) 1/an = 0 when an is a sequence with an > 0 for n being natural, and lim (n tends to infinity) an = infinity. 1 divided by a very big number is a very small number.. so if you divide something by infinity, you will get infinite small number = 0.
i was told i had to use definitions in my answer...
But this is quite straightforward, so we get that which means that so for any being greater than the above condition is fulfilled. For example, it's enough to take
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