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Question

If limx3xn3nx3=108, find the value of n.


Solution

limx3xn3nx3=108

n(3)n1=108

=[limxaxnanxa=nan1]

n(3)n1=2×2×3×3×3

=4(3)3

n(3)n1=4(3)41

Comparing we get

n =4

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