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Evaluate lim(ntooo) (4^(n)+5^(n))^(1//n)...

Evaluate `lim_(ntooo) (4^(n)+5^(n))^(1//n)`

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To evaluate the limit \( \lim_{n \to \infty} (4^n + 5^n)^{1/n} \), we can follow these steps: ### Step 1: Identify the dominant term As \( n \) approaches infinity, the term \( 5^n \) will dominate \( 4^n \) because \( 5 > 4 \). Therefore, we can factor out \( 5^n \) from the expression inside the limit. ### Step 2: Factor out \( 5^n \) We rewrite the expression: \[ ...
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