Answer:
4.5 and .75 or 9/2 and 3/4
(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
Answer:
I think the answer is 16
Step-by-step explanation:
Because
2 divided by 15 is 7.5
so 120 divided 7.5 is 16 pages
I hope you get it right !
Good Luck!
Answer:
Maple grove associates
Step-by-step explanation:
Answer: $21.25 - 4r
Step-by-step explanation:
Carly took $21.25 to a carnival.
A ride ticket costs r dollars and Carly bought 4 ride tickets. This mean Carly spent (4×r) dollars on ride tickets = 4r
The expression to show the amount Carly has left after buying the ride tickets will be equal to the amount Carly took to the market minus the total amount of ride tickets
= 21.25 - (4×r)
= 21.25 - 4r