Evaluate the following limits:


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Since the form is indeterminant
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Method 1: factorization


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

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= 1 + 1 + 1
= 3
Method 2: By L hospital rule:
Differentiating numerator and denominator separately:
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= 12(-1/2)2
= 12/4
= 3
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