lim x趋向于无穷 2^n sin(x/2^n)

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limx趋向于无穷2^nsin(x/2^n)limx趋向于无穷2^nsin(x/2^n)limx趋向于无穷2^nsin(x/2^n)x趋向于无穷时,sin(x/2^n)等价于x/2^n所以lim2^n

lim x趋向于无穷 2^n sin(x/2^n)
lim x趋向于无穷 2^n sin(x/2^n)

lim x趋向于无穷 2^n sin(x/2^n)
x趋向于无穷时,sin(x/2^n)等价于x/2^n
所以lim2^n sin(x/2^n)=lim2^n *x/2^n=x=无穷