For all of the following prove without using l'Hopital's rule. i) Does converge? If so what is its limit? If not prove that it diverges. ii) For what values does converge? If possible give a formula for the converging value.
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Originally Posted by putnam120 For all of the following prove without using l'Hopital's rule. i) Does converge? If so what is its limit? If not prove that it diverges. ii) For what values does converge? If possible give a formula for the converging value. Maybe this will help.
thanks. I solved them by using the binomial theorem but that way works also. thanks once more.
Originally Posted by putnam120 For all of the following prove without using l'Hopital's rule. i) Does converge? If so what is its limit? If not prove that it diverges. ii) For what values does converge? If possible give a formula for the converging value. You need to know that: Then for large enough: and . So: and the rest of part (i)should follow from the squeeze theorem. RonL
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