Q. 105.0( 4 Votes )

Evaluate the following limits:


Answer :



Since the form is indeterminant



Method 1: factorization





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






=


=


= 25


Method 2: By L hospital rule:


Differentiating numerator and denominator separately:






= 25


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