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Question Number 169508 by Giantyusuf last updated on 01/May/22
Evaluate if the limit exist lim_(n→∞) (((3^n +(−2)^(n+1) )/(3^(n−2) −2^(2n−1) )))
Evaluateifthelimitexistlimn→∞(3n+(−2)n+13n−2−22n−1)
Answered by qaz last updated on 01/May/22
lim_(n→∞) ((3^n +(−2)^(n+1) )/(3^(n−2) −2^(2n−1) ))=lim_(n→∞) ((((3/4))^n −2(−(1/2))^n )/(3^(−2) ((3/4))^n −2^(−1) ))=0
limn→∞3n+(−2)n+13n−2−22n−1=limn→∞(34)n−2(−12)n3−2(34)n−2−1=0

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