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Question

limxa(x+2)32(a+2)32xa

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Solution

limxa(x+2)32(a+2)32xa

=limxa(x+2)32(a+2)32(x+2)(a+2)

Let x +2 =y, a+2 =b

as xax+2a+2yb

limyb(y)32(b)32(y)(b)

[Using formula limxaxnanxa=nan1]

=32(b)321

=32(a+2)321

=32(a+2)12


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