Question

An infinite series is represented by ∑ with [infinity] on top and n=1 underneath ∑, and (3n^3/15n^4+5). What is the limit of the infinite series? a) 0 b) 1/5 c) 1/3 d) 5/3

Answer 1

Answer: 0


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Make limit:

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Solve knowing that:

`\boxed{lim_(x \to c)((f(x))/(g(x))) = (\lim_(x \to c)(f(x)))/(lim_(x \to c)(g(x)))}`




Now next formula (sorry there is next formula but im too lazy to write), and also you’ll use, that limit of value of constant is always equal to constant:

`\boxed{lim_(x \to \pm \infty)((1)/(x^(p)) = 0}`


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So right answer is 0