By inspection, it's clear that the sequence must converge to

because

when

is arbitrarily large.
Now, for the limit as

to be equal to

is to say that for any

, there exists some

such that whenever

, it follows that

From this inequality, we get




As we're considering

, we can omit the first inequality.
We can then see that choosing

will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that

.
The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.
<h3>What is the worth of the car?</h3>
When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:
FV = P (1 - r)^n
- FV = Future value
- P = Present value
- R = rate of decline
- N = number of years
$42,000 x (1 - 0.048)^5 = $32,842.34
To learn more about future value, please check: brainly.com/question/18760477
The answer is 4:4 it takes 4 of each
Answer:
sin p -21/29
cos q 21/29 so here you go °~sohcahtoa~°
Step-by-step explanation:
sin means you find the soh part so you look for the oppisite over hyponuse
and for cos your looking for cah part so you find the adjsent over hypotnuse so the ansers is 21/29
Answer:
Simplify 2x - 4) + 7(x + 2).
9x + 6
9x - 4
09x - 6
= 9x+10