KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 13 of 120

Marks: +1, -0

Let

x_n = (2^n + 3^n)^{1\/2n}

for all natural numbers n.
Then

Solution:

\lim↙{n→∞} (3^n) ^{1\/2n} ((2/3)^n+1)^{1\/2n}

Put

\lim↙{n→∞} √3

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