1.
lim(x→-1)[(x^2-6x-7)/(2x^2+x-1)]=lim(x→-1)[(2x-6)/(4x+1)]=8/3
2.
lim(x→∞)[ln(1+x)/x]=lim(x→∞)[1/(x+1)]=0
3.[用两次]
lim(x→0)[ln(1+x^2)/(1-cosx)]=lim(x→0)[2x/((x^2+1)sinx)]=lim(x→0)[2/(x^2cosx+2xsinx+cosx)]=2
4.[用两次]
lim(x→0)(1/sinx-1/x)=lim(x→0)((x-sinx)/(xsinx))=lim(x→0)((1-cosx)/(xcosx+sinx))=lim(x→0)(sinx/(2cosx-xsinx))=0
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