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Prove n^2/2^n converges find its limit?
I understand that it converges because 2^n grows a lot faster than n^2 and I think the limit is zero but how do I go about proving it?
1 Answer
- ironduke8159Lv 78 years agoFavorite Answer
This takes the indterminate form infinity/infinity. So you should use L'Hopital's Rule to detremine limit.
Form a new expression by taking the derivative of the numerator divided by derivative of denominator. If this does not result in a limit repeat the process using thr 2nd derivatives.