Please help!

Find the interval of convergence for:

Please note: The 2 in the picture must actually also be an exponent, so n^2^n.

-∞ < 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.

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !