Using the identity 1+2/n=[1+1/n+ )(1+1/n), prove that if c>1, prove that lim,c/=1. [hint: write c/"= 1 +5, and take the nth power of both sides to show that {ns

Using the identity 1+2/n=[1+1/n+ )(1+1/n), prove that If c>1, prove that lim,c/=1. [Hint: Write c/"= 1 +5, and take the nth power of both sides to show that {ns,}-i is bounded. Then conclude that s,-0 as n-o.