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Question:

If limx→∞(1 + ax - x²/4)2x = e3, then 'a' is equal to:

32

2

23

12

Solution:

Given Limit=elimx→∞(ax𕒸x2)×2x=elimx→∞(2a𕒼x)=e2aAnd this is equal toe3On equating we get,∴2a=3Hencea=32