Evaluate the following limits:
Since the form is indeterminant
Method 1: factorization
Since a3 + b3 = (a + b)(a2 + b2-ab) & a2-b2 = (a + b)(a-b)
= (-1)2 + (1)2 - (-1)
= 3
Method 2: By L hospital rule:
Differentiating numerator and denominator separately:
= 3(-1)2
= 3