. 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>
Number 2 would be b. 7/12= 0.583 repeating
Answer:
true false true
Step-by-step explanation:
Answer:
In 22 minutes the remaining cell phone battery will be unknown.
In a of minutes the remaining cell phone battery will be 50%.
Step-by-step explanation:
Answer:
Each unit is of 28/14 = 2 inches long and the sides are of 6 in, 6 in, 6 in and 10 in.
Step-by-step explanation:
Make a sketch and find an isosceles triangle formed by the diagonal, shorter base and the lateral side of the trapezoid.
Thus you have the lateral sides of the trapezoid congruent to the shorter base.
Your trapezoid then has the sides of 5:3:3:3 units.
In total, there are 5 + 3 + 3 + 3 = 14 units.
Hence, each unit is of 28/14 = 2 inches long and the sides are of 6 in, 6 in, 6 in and 10 in.
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