Answer:
i
Step-by-step explanation:
I think it's C,But I'm not sure
Answer:
1.125
Step-by-step explanation:
1) First you have to turn it into an improper fraction
8*1 = 8. Add the numerator--> 8+1 = 9.
2) The improper fraction is 9/8
3) Divide 9 by 8
**Write this using long division
8 goes into 9 one time, so we will write one as our first digit
Carry down the 1 and the 0, 8 goes into 10 1 times so write 1.
And this point we have 1.1 above
Carry down the 2 and the 0, 8 goes into 20 2 times so write 2
At this point we have 1.12
Carry down the 4 and the 0, 8 goes into 40 5 times with no remainders so write 5 and end the division process.
Now we have 1.125 as our decimal for 9/8 which is equivalent to 1 1/8.
(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.
