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Question

limx0ax+ax2x2 is equal to

A
(loga)2
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B
loga
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C
0
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D
None of these
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Solution

The correct option is B (loga)2
limx0ax+ax2x2

=limx0axlogaaxloga2x........[Applying L'Hospital's rule]

=limx0ax(loga)2+ax(loga)22 [Again, applying L'Hospital's rule]

=limx0(loga)2(ax+ax)2

=(loga)2

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