Evaluate the following limits:



Since the form is indeterminant



Method 1: factorization




Since a3 + b3 = (a + b)(a2 + b2 - ab)





= 1 + 1 + 1


= 3


Method 2: By L hospital rule:


Differentiating numerator and denominator separately:





= 12(-1/2)2


= 12/4


= 3


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