lim x->无穷 [(5x^2+1)/(3x-1)]*sin(1/x)+[(x+1)/x^2]*sinx

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lim x->无穷 [(5x^2+1)/(3x-1)]*sin(1/x)+[(x+1)/x^2]*sinx
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lim x->无穷 [(5x^2+1)/(3x-1)]*sin(1/x)+[(x+1)/x^2]*sinx
lim x->无穷 [(5x^2+1)/(3x-1)]*sin(1/x)+[(x+1)/x^2]*sinx

lim x->无穷 [(5x^2+1)/(3x-1)]*sin(1/x)+[(x+1)/x^2]*sinx
请看图

>> syms x
>> limit(((5*x^2+1)/(3*x-1))*sin(1/x)+((x+1)/x^2)*sin(x), x,inf)
ans =
5/3