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[image]20 n趋于无穷时,(ntan(1/n))^n^2的极限=多少?
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(ntan(1/n))^n^2=e^(n^2*ln(ntan1/n))=e^(n^2((ntan1/n-1)-1/2(ntan1/n-1)2+o(ntan1/n-1))=e^(1/3+o(1/n^2))=e^1/3
tanx= x+1/3x^3+2/15x^5o(x^5)
tanx= x+1/3x^3+2/15x^5o(x^5)
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