求lim x->0 f(x)=√((x^4+16)-4)/x^4的极限(limit)
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求lim x->0 f(x)=√((x^4+16)-4)/x^4的极限(limit)
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![求lim x->0 f(x)=√((x^4+16)-4)/x^4的极限(limit)](/uploads/image/z/15026488-16-8.jpg?t=%E6%B1%82lim+x-%3E0+f%28x%29%3D%E2%88%9A%EF%BC%88%EF%BC%88x%5E4%2B16%EF%BC%89-4%29%2Fx%5E4%E7%9A%84%E6%9E%81%E9%99%90%EF%BC%88limit%EF%BC%89)
f(x)=[√(x^4+16) -4][√(x^4+16) +4] / {x^4*[√(x^4+16) +4]}
=x^4/ {x^4*[√(x^4+16) +4]}
=1/[√(x^4+16) +4]
=1/8
=x^4/ {x^4*[√(x^4+16) +4]}
=1/[√(x^4+16) +4]
=1/8
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