lim n趋向于无穷 2^n sin(x/2^n)

问题描述:

lim n趋向于无穷 2^n sin(x/2^n)
X为不等于0的常数

2^n sin(x/2^n)= [sin(x/2^n)/(x/2^n)]*x,n趋向于无穷大时,x/2^n趋向于无穷小,于是,整个式子趋向于x.