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\[Y=\lim_{n \rightarrow \infty} (1/n)^{1/ \ln n}\] Taking logarithm \[\ln Y=\lim_{n \rightarrow \infty} (1/\ln n)\times(\ln (1/n))\] \[\ln Y=\lim_{n \rightarrow \infty} (1/\ln n)\times[\ln (n)]\] \[\ln Y=\lim_{n \rightarrow \infty} (1)\] \[\ln Y=(1)\] \[Y=e^{1}\]
 2 years ago
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