Can someone check my work and let me know if I am screwing these up. I previousl

Question

Can someone check my work and let me know if I am screwing these up. I previously asked a quesiton to verify my solutions but that doesn't necessarily mean I am actually working the problems correctly.

Thank you:

Determine the interval of convergence and the function to which the given power series converges. 3 (x / 4)k 3(x / 4)k = 3 (x / 4)k limk rightarrow infinity |ak + 1 / ak| = limk rightarrow infinity |(x / 4)k + 1 / (x / 4)k| = limk rightarrow infinity |(x / 4)k * (x / 4)1 / (x / 4)k| rightarrow |x / 4| |x / 4|

Explanation / Answer

You're missing a 3 in the top and bottom of the second step of the first centered line (they end up canceling).

In the fourth and fifth lines you're mising a sum after the = sign.

In the last line r = 2 is the radius of convergence not the interval of convergence.

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