n(1-cos(pai/n)),n趋于无穷大的极限

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n(1-cos(pai/n)),n趋于无穷大的极限

n(1-cos(pai/n)),n趋于无穷大的极限
n(1-cos(pai/n)),n趋于无穷大的极限

n(1-cos(pai/n)),n趋于无穷大的极限
lim(n趋于无穷大)n(1-cos(pai/n)) =lim(n趋于无穷大)n(sin(pai/2n)) 用x代换1/n,改变极限的界限 =lim(x趋于0)(sin(x*pai/2))/x =lim(x趋于0)(x*pai/2)/x =pai/4