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Question

Find b limx2a(x2a)+x2a(x24a2) is 1ba

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Solution

limx2a(x2a)+x2a(x24a2)
Split into two terms and rationalize.
limx2a1(x+2a)+limx2ax2ax+(2a).(x24a2)(x24a2)
=12a+limx2a1x+(2a).(x24a2)x+2a=12a+0

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