求解lim(1+2x+3x^2)/(6x^2)+lim(sinx^2/(2x^2)前一个x趋近于无限,后一个x趋近于0
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求解lim(1+2x+3x^2)/(6x^2)+lim(sinx^2/(2x^2)前一个x趋近于无限,后一个x趋近于0
![求解lim(1+2x+3x^2)/(6x^2)+lim(sinx^2/(2x^2)前一个x趋近于无限,后一个x趋近于0](/uploads/image/z/15772739-59-9.jpg?t=%E6%B1%82%E8%A7%A3lim%281%2B2x%2B3x%5E2%29%2F%286x%5E2%29%2Blim%28sinx%5E2%2F%282x%5E2%29%E5%89%8D%E4%B8%80%E4%B8%AAx%E8%B6%8B%E8%BF%91%E4%BA%8E%E6%97%A0%E9%99%90%2C%E5%90%8E%E4%B8%80%E4%B8%AAx%E8%B6%8B%E8%BF%91%E4%BA%8E0)
lim(x-> ∞)(1+2x+3x^2)/(6x^2)
=lim(x-> ∞)(1/x^2+2/x+3)/6
=1/2
lim(x->0)(sinx)^2/(2x^2) (0/0)
=lim(x->0)sin(2x)/(4x)
=lim(x->0)(2x)/(4x)
=1/2
lim(x-> ∞)(1+2x+3x^2)/(6x^2) +lim(x->0)(sinx)^2/(2x^2)
=1/2+1/2
=1
=lim(x-> ∞)(1/x^2+2/x+3)/6
=1/2
lim(x->0)(sinx)^2/(2x^2) (0/0)
=lim(x->0)sin(2x)/(4x)
=lim(x->0)(2x)/(4x)
=1/2
lim(x-> ∞)(1+2x+3x^2)/(6x^2) +lim(x->0)(sinx)^2/(2x^2)
=1/2+1/2
=1
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