Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)Part 1) an= (5n) /(1+9n)limn→[infinity] an =?Part 2) (1,1/2,1/2,1/3,1/3,1/4,1/4,1/5...)l imn→[infinity] an =?

The sequence converges to 5/9.

Step-by-step explanation:

Suppose we have a sequence

Limit test:

If L is a constant number, the sequence converges to L.

If L = 0, the test is inconclusive.

Otherwise, the sequence diverges.

In this question:

Test:

Infinity limit, we consider the term with the highest degree in the numerator and in the denominator.

The sequence converges to 5/9.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10