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