lim(x→∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)+sin3x/x]如图因为用文字表达的话括弧太多了,能用截图回答最好,

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lim(x→∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)+sin3x/x]如图因为用文字表达的话括弧太多了,能用截图回答最好,
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lim(x→∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)+sin3x/x]如图因为用文字表达的话括弧太多了,能用截图回答最好,
lim(x→∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)+sin3x/x]
如图

因为用文字表达的话括弧太多了,能用截图回答最好,

lim(x→∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)+sin3x/x]如图因为用文字表达的话括弧太多了,能用截图回答最好,

lim(x->∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)+sin(3x)/x]
=lim(x->∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)]+lim(x->∞)sin(3x)/x
=lim(x->∞)[(8x^4+12x^3+1)/(4x^4-9x^2+5x+2)] +0
=lim(x->∞)[(8+12/x+1/x^4)/(4-9/x^2+5/x^3+2/x^4)]
=8/4
=2