Question: Define a sequence(a n )bya n = 2 1/n ; n1. Use the inequality (1+x) n 1+nxto prove thatlim ninf (a n )=1. Note: You

Define a sequence(an)byan= 21/n; n1.

Use the inequality (1+x)n1+nxto prove thatlimninf(an)=1.

Note: You may use an=1+bn; bn0, as a hint for the proof.

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