A function f is defined by f(x) = 1 + 8x + x2 + 8x3 + x4 + ⋯ that is, its coefficients are c2n = 1 and c2n + 1 = 8 for all n ≥ 0. Find the interval of convergence of the series. Find an explicit formula for f(x).

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.