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)





= 2a + 0


= 2a


Method 2: By L hospital rule:


Differentiating numerator and denominator separately:




= 2(a + 0)


= 2a


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