Step-by-step explanation:
<u>Raise c to the 3rd power:</u>

<u>Triple the amount</u><u> </u><u>(</u><u>Multiply</u><u> </u><u>by</u><u> </u><u>3</u><u>)</u><u>:</u>

(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: (0, -6)
Explanation:
6x - 6 = -4x - 6
10x = 0
x = 0
y = 6(0) - 6
y = 0 - 6
y = -6