求极限lim2^(n-1)sin(x/2^n) n趋近于无穷

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求极限lim2^(n-1)sin(x/2^n)n趋近于无穷求极限lim2^(n-1)sin(x/2^n)n趋近于无穷求极限lim2^(n-1)sin(x/2^n)n趋近于无穷lim(n→∞)2^(n-

求极限lim2^(n-1)sin(x/2^n) n趋近于无穷
求极限lim2^(n-1)sin(x/2^n) n趋近于无穷

求极限lim2^(n-1)sin(x/2^n) n趋近于无穷
lim(n→∞)2^(n-1)sin(x/2^n)
=lim(n→∞)2^(n-1)*(x/2^n)
=x/2

因为:n趋近于无穷
lim2^(n-1)sin(x/2^n)=lim2^(n-1)* x/2^n=lim(x/2)

lim2^(n-1)sin(x/2^n) =lim2^(n-1)*(x/2^n)=x/2