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Question

limx2ax2a+x2ax24a2 is equal to

A
1a
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B
12a
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C
1a
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D
12a
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Solution

The correct option is B 12a
L=limx2ax2a+x2ax24a2=limx2ax2a+x2a(x2a)(x+2a)

=limx2a1x+2a+limx2ax2a(x2a)(x+2a)

=12a+limx2ax2a(x2a)(x+2a)1x+2a

=12a+limx2ax2ax+2a1x+2a=12a+0=12a

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