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Question

Evaluate the limit: limx144x12x1

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Solution

Given: limx144x12x1 becomes 00 form

Using Factorization method

limx144x12x1=limx14(2x)2122x1

limx14(2x1)(2x+1)2x1

[(a2b2)=(a+b)(ab)]

limx14(2x+1)

=(214+1)=(2(12)+1)

=1+1=2

Therefore,

limx144x12x1=2





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