Question

3/2*5/4*7/6*9/8*...2n+1/2n>根号n+1

Answer 1

3/2*5/4*7/6*9/8*...2k+1/2k*2k+3/2k+2>√k+1*2k+3/2k+2

再证左式>√k+2即可

√k+1*2k+3/2k+2>√k+1*2k+3/2k+2

两边平方后,合并同类项

即K+1>0

命题得证