Calculus Help! So, I did this power series problem and found my summation notation, but when I found my limit it was after doing the Ratio Test and this would give ∞/∞. So with that in mind...

If the limit you got from your power series when doing a Ratio test was ∞/∞, would I have to do L'Hopital's Rule to get a number in order to define the interval of convergence? Or would that ∞/∞ tell you that it is divergent?

Yes.

Step-by-step explanation:

You would have to use L'Hopital's Rule. Infinity/Infinity is undefined, just like 0/0 is undefined.

I just googled this.

Before trying other techniques, plug in the arrow number. If the result is:

   A number, you’re done.

    A number over zero or infinity over zero, the answer is infinity.

    A number over infinity, the answer is zero.

    0/0 or ∞/∞, use L’Hôpital’s Rule.

The thing is, when you say you got your limit, do you mean ?

This can just be found out by dividing by highest denominator power on numerator and denominator..

the limit of 1 is 1.

the limit of 1/x is 0.

because its equal to one it diverges.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

the correct answer is c