The following series are geometric series or a sum of two geometric series. determine whether each series converges or not. for the series which converge, enter the sum of the series. for the series which diverges enter "div" (without quotes). (a) ∑n=1∞10n9n= , (b) ∑n=2∞13n= , (c) ∑n=0∞3n52n+1= , (d) ∑n=5∞9n10n= , (e) ∑n=1∞7n7n+4= , (f) ∑n=1∞9n+3n10n=

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

answer is b

step-by-step explanation: