There are 10 buttons total then pulling a green button out of the total is 2/10 and a red is 3/10 and pulling a red button is 3/10 and a yellow button 5/9
We are given the equation <span>an = (n^2/ sqrt(n^3+4n)) and asked to determine if the function is divergent or convergent. In this case, we find the limit of the function as n approaches infinity.
an = </span><span> (n^2/ sqrt(n^3+4n))
lim (n to infinity ) = infinity / infinty: ;indeterminate
Using L'hopitals rule, we derive
</span><span>lim (n to infinity ) = 2 n / 0.5* ( </span><span>n^3+4n) ^-0.5 * (3 n2 +4) : infinity / infinity
again, we derive
</span>lim (n to infinity ) = 2 (0.25) (( n^3+4n) ^-0.5))*(3 n2 +4) / 0.5* ( 6n + 4) :infinity / infinity
<span>
again,
</span>lim (n to infinity ) = 2 (0.25) (6n + 4) / 0.5* ( 6)* 0.5 <span>(( n^3+4n) ^-0.5))</span>
this goes on and the function is divergent
Answer:
C
Step-by-step explanation:
12*2.5=30
3.5*2.5=8.75
8.75*2=17.5
30*2=60
17.5+60=77.5
If the entire student population seems a lot higher than 10 people, I say no. It just depends on the student population. Please look at the earlier parts and respond with a comment what the entire student population is, but if there is no specifications, I would assume they should find a larger sample because 10 people is not accurate to find a general opinion over a larger population.
The answer is five remainder four
