I'm guessing the series is supposed to be

By the ratio test, the series converges if the following limit is less than 1.

The first

terms in the numerator's denominator cancel with the denominator's denominator:


also cancels out and the remaining factor of

can be pulled out of the limit (as it doesn't depend on

).

which means the series converges everywhere (independently of

), and so the radius of convergence is infinite.
Answer:
f(3) = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 1/3x + 5
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 1/3(3) + 5
- Multiply: f(3) = 1 + 5
- Add: f(3) = 6
Answer:
-12 + 3 - (10x - 15x + 96)
Step-by-step explanation:
Answer: the maximum number of bundles of comic books that the box can carry is 7
Step-by-step explanation:
Let x represent the maximum number of bundles of comic books that the box can carry.
If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.
A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is
8x ≤ 60
x ≤ 60/8
x ≤ 7.5