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JulsSmile [24]
3 years ago
12

Determine whether the series is convergent or divergent.

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

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In the diagram m angle ACB = 61<br> Find m angle BCD
Marina86 [1]

we are given that

angle(ACF)=90

angle(ACB)=61

sum of all angles along any line is 180

so, we get

angle(ACF)+angle(ACD)=180

we can plug value

90+angle(ACD)=180

angle(ACD)=90

now, we can use formula

angle(ACD)=angle(ACB)+angle(BCD)

now, we can plug values

and we get

90=61+angle(BCD)

90-61=61-61+angle(BCD)

angle(BCD)=29................Answer


7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST. please help
kondor19780726 [428]

Answer:

x = 11.4 m

y = 21 m

man's shadow =  9.6 m

Step-by-step explanation:

measure of third angle must be 50 degrees (180 - (40 + 90))

you can take tan50° = 15/y and 'y' will equal approx. 21

to find 'x' you can take tan21° = (21-x) /25 and 21 - x = 25 · tan21°

21 - x = 9.6

-x = -11.4

x = 11.4

man's shadow is the difference of 21 and 11.4, which is 9.6

4 0
2 years ago
Problem 2. 1/8×5/6, And answer in simplest form
Ostrovityanka [42]
The simplest form is 5/48
8 0
3 years ago
Rule set for 18250 , 18500 , 19000 , 20000
Rus_ich [418]
I thought doubling everytime except for the number 19000 because if you do 250 × 2 = 500 so then you do 500×2=1000.
3 0
3 years ago
For each graph below, state wether it represents a function.
Paul [167]

Answers:

Row 1: No, No, No

Row 2: Yes, Yes, Yes

===============================

Explanation:

Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.

So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.

8 0
3 years ago
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