Answer:
Step-by-step explanation:
Given that,
y=(1 + 1/n)ⁿ
As n goes larger 1/n approaches 0
y=1^∞
Then, this is the indefinite,
So let take 'In' of both sides
y=(1 + 1/n)ⁿ
In (y) =In ((1+1/n)ⁿ)
From law of logarithm
LogAⁿ=nLogA
Then, we have
In(y)= In ((1+1/n)ⁿ)
In(y)= n•In (1+1/n)
This can be rewritten to conform to L'Hospital Rule
In(y)= n / 1 / In(1+1/n)
As n approaches infinity
n also approaches infinity
And In(1+1/n) approaches 0, then, 1/In(1+1/n) approaches infinity
Then we have another indeterminate
Then, applying L'Hospital
Differentiating both the denominator and numerator
The differential of 1/In(1+1/n)
n^-2In(1+1/n) / (In(1+1/n))²
1 / n²In(1+1/n)
Then, apply L'Hospital
In(y) = 1/ n²In(1+1/n)
As n tends to infinity
In(y)= 0
Take exponential of both sides
y=exp(0)
y=1
As n goes larger the larger the irrational number but when n goes to infinity then the irrational number goes to 1
Answer:
0.03
Step-by-step explanation:
fraction = part/whole
= 27/900
= 3/100
=0.03
decimal value = 0.03
Answer:
a=4
Step-by-step explanation:
Answer: So you are going to make an equation first.
Step-by-step explanation:
first we know that for the first 2 hours the snow fell at an inch an hour. so we are going to make our first plots ( I suggest using an online site like geogebra or desmos to start out with before plotting for your assingment)
our first plot is going to be at (1,1) or 1 over and 1 up. remember points are in the form of (x,y). then (2,2)
Now we see that it has changed now there is no new snow for 6 hours so you are going to have a flat line so its going to be (2,2) then its going to continue that way as (3,2),(4,2), (5,2) (6,2)(7,2)(8,2).
It starts snowing again and now we have a new thing to plot the snow is falling at a constant of 3 inches an hour for the next 5 hours so now we are going to plot hte points to get our points we are going add 3 inches to our current inches each new hour. so its going to be (9,(2+3)) which is (9,5) and continue on doing that so we will have the plots (10,8) (11,11) (12,14) (13,17). and now we connect our plots by creating segments so then you do that on your thing and youre set to go I hope this helps.
Angle G is 144 degrees because it makes a linear pair with angle 36
