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I need help solving this.*please note that this problem is related to calculus*

I need help solving this.*please note that this problem is related to calculus*-example-1

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To evaluate the limit of the series, we evaluate the limit to infinity of the expression inside the sum, as following:


\lim _(n\to\infty)(3n^3)/(15n^4+5)

Since the denominator is one degree higher than the numerator, we can conclude that:


\lim _(n\to\infty)(3n^3)/(15n^4+5)=0

Answer: Option 1

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