. 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>
<span>3x^3 + 7x^2 - 7x - 3</span>
= (x + 3)(x - 1)(3x + 1)
answer
other two factors (3x + 1) and (x - 1)
Answer:
tan(x)=512 can be thought of as the ratio of opposite to adjacent sides in a triangle with sides 5,12 and 13 (where 13 is derived
Step-by-step explanation:
Answer:
230.5
Step-by-step explanation:
Formulas: a = 1/2(bh), a = bh
Rectangle 1: a = 6 x 8
a = 48
Base of the triangle: 9 + 6
15
Triangle 1: a = 1/2(15 x 24)
a = 180
Triangle 2: a = 1/2(4(13 - 8))
a = 2.5
48 + 180 + 2.5
230.5
<u>The area of the figure is 230.5.</u>
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