limx趋近于0〔(sinx^2-2x^3+5x)/(tanx+4x^2)〕
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![limx趋近于0〔(sinx^2-2x^3+5x)/(tanx+4x^2)〕](/uploads/image/z/14057125-61-5.jpg?t=limx%E8%B6%8B%E8%BF%91%E4%BA%8E0%E3%80%94%28sinx%5E2-2x%5E3%2B5x%29%2F%28tanx%2B4x%5E2%29%E3%80%95)
limx趋近于0〔(sinx^2-2x^3+5x)/(tanx+4x^2)〕
limx趋近于0〔(sinx^2-2x^3+5x)/(tanx+4x^2)〕
limx趋近于0〔(sinx^2-2x^3+5x)/(tanx+4x^2)〕
答案是5
lim〔(sinx^2-2x^3+5x)/(tanx+4x^2)〕
=limx趋近于0(sinx^2/x-2x^2+5)/(tanx/x+4x)
=(0-0+5)/(1+0)
=5
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