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.

93.8

step-by-step explanation:

lets say, first number = x

second number = 3x+7

total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 93.8

hope this