Evaluate: limit x→0 (1 + x)^6 - 1 / (1 + x)^2 - 1
Added by Alan L.
Step 1
First, we can simplify the expression by factoring out (1+x)^2 from both the numerator and denominator: (1 + x )^6- 1 = [(1 + x)^2]^3 - 1 = [(1 + x)^2 - 1][(1 + x)^4 + (1 + x)^2 + 1] (1 + x )^2- 1 = (1 + x)^2 - 1 = x(x + 2) Now we can substitute these Show more…
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