Problem

4) limx→1x4−1x−1

Answer

Expert–verified
Hide Steps
Answer

limx→1[(12+1)(1+1)]=\(2(2) = 4

Steps

Step 1 ：limx→1x4−1x−1 = limx→1(x2+1)(x2−1)x−1

Step 2 ：limx→1[(x2+1)x2−1x−1] = limx→1[(x2+1)(x+1)]

Step 3 ：limx→1[(12+1)(1+1)]=\(2(2) = 4

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