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Svetach [21]
3 years ago
14

Please help!

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

-∞ < x < ∞

Step-by-step explanation:

∑ xⁿ / n^(2ⁿ)

Apply ratio test:

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |

lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |

0

The series converges for all values of x.

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Hope this helps *smiles*
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3 years ago
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