Determine whether the improper integral converges or diverges, and find the value of each that converges.
∫^[infinity]_2 1/x ln x dx

Diverges

Step-by-step explanation:

We can solve this by using integral by parts:

Let

We can add

to both sides

We can evaluate the limit between 2 and infinity.

If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

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