⒈当x→1时,(x²-1)/(x²+2x-3)=(x-1)(x+1)/[(x+3)(x-1)=(x+1)/(x+3)→(1+1)/(1+3)=1/2选择(A)⒉当x→∞时,(2x-5)^7*(3x+4)³/(2x+1)¹º=(2-5/x)^7*(3+4/x)³/(2+1/x)→2^7*3³/2¹º=27/8选择(C)⒊当x→∞时,(3x²+4x-1)/(5x³+6)=(3+4/x-1/x²)/(5x+6/x²)→3/(5x)→0选择(A)⒋当n→+∞时,(4*4ⁿ-2ⁿ)/(4ⁿ-3ⁿ)=[4-(2/4)ⁿ]/[1-(3/4)ⁿ]→(4-0)/(1-0)=4选择(D)⒌当x→∞时,(x²-ax+4)/(x-1)→-3,x²-ax+4→-3(x-1),x²+3x+1→ax,a→(x²+3x+1)/x=(x+1/x)+3,a→∞。【如果x→1】a→(1+1/1)+3=5,选择(B)。