求ln(1+2^n)*ln(1+3/n)的极限(n趋于无穷)

Question

求ln(1+2^n)*ln(1+3/n)的极限(n趋于无穷)

Answer 1

lim ln(1+2^n)*【ln(1+3/n)*n/3】*3/n
=lim 3/n*ln(1+2^n)
=lim 3/n*nln2
=3ln2