. The series is divergent. To see this, first observe that the series ∑ 1/kn for n = 1 to ∞ is divergent for any integer k ≥ 2.
Now, if we pick a large integer for k, say k > 100, then for nearly all integers n it will be true that 1 > cos(n) > 1/k. Therefore, since ∑ 1/kn is divergent, ∑ cos(n)/n must also be divergent The *summation* is divergent, but the individual terms converge to the number 0.<span>by comparison test since cosn/n <= 1/n is convergent
and 1/n is divergent by harmonic series
so the series is conditionally converget </span>
You can find how many he gets for each dog.
For example, let's pretend Juan gets $3 for each dog to walk, then he would've walked 4 dogs. But in this real problem we don't know how much he gets for each dog.
So, you can find the amount of money Juan saved by knowing how much is for each dog walked.
Answer:
The required ratio is 38 : 7
Step-by-step explanation:
Given,
304 calories burned in 56 minutes,
That is, the number of calories burnt in 56 minutes = 304
So, the ratio of the calories burnt and time in minutes = 
∵ HCF(304, 56) = 8,
Thus, the ratio of price of photos and number of photos = 
= 
Answer:
The shortest length possible for that road is 43.0 miles
Step-by-step explanation:
Please, see the attached file.
Thanks.