Answer:
1, 4, 3, 6, 2, 7, 5
Step-by-step explanation:
The circle operator in
means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation

means

That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.

__
If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.
Answer:
150
Step-by-step explanation:
15*10
Lets get rid of the 0 for now
15*1
That is 15 added to itself 0 times so it is 15
Now lets put the 0 back
and we will get
150
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

.
Answer:
:/
Step-by-step explanation:
:/