Q29 of 32 Page 13

Evaluate the limit



Since the form is indeterminant



Method 1: factorization






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









= 1


Method 2: By L hospital rule:


Differentiating numerator and denominator separately:






= 1

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