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What happens to f(n) as n increases? f(n)=|(2/3 3/4i)ⁿ|

User An
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Final answer:

The function f(n) = |(2/3 + 3/4i)^n| will always increase or stay the same as n increases.

Step-by-step explanation:

The function f(n) = |(2/3 + 3/4i)^n| represents the absolute value of the complex number (2/3 + 3/4i) raised to the power of n. As n increases, the magnitude of the complex number (2/3 + 3/4i)^n also increases. However, since the magnitude is always positive due to the absolute value, the function f(n) will always increase or stay the same as n increases.

User Soojoo
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