求证limx→-3 (1+3x)/(x-1)=2rt

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求证limx→-3(1+3x)/(x-1)=2rt求证limx→-3(1+3x)/(x-1)=2rt求证limx→-3(1+3x)/(x-1)=2rt解1+3x3(x-1)+444lim-------

求证limx→-3 (1+3x)/(x-1)=2rt
求证limx→-3 (1+3x)/(x-1)=2
rt

求证limx→-3 (1+3x)/(x-1)=2rt
解 1+3x 3(x-1)+4 4 4
lim----------------------=lim -----------------=3 + lim---------------=3+ ----------= 3-1=2
x→-3 x-1 x→-3 x-1 x→-3 x-1 -3-1

直接代:x=-3

=limx->∞ ln3x∧2/lnx∧4=limx->∞ 【ln3+2lnx】/4lnx=1/2