Looks like the given limit is

With some simple algebra, we can rewrite

then distribute the limit over the product,

The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.
For the second limit, recall the definition of the constant, <em>e</em> :

To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that

From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as

Now we apply some more properties of multiplication and limits:

So, the overall limit is indeed 0:

Answer:
- C. neither. the roof and walls are the same shade of green
Step-by-step explanation:
<u>The first batch:</u>
- Some white and some green
<u>The second batch:</u>
- Triple amount of white and triple amount of green
As we see the ratio of white to green has not changed
Therefore there won't be any difference in painting
Correct answer choice is C.
Answer:
2/3
Step-by-step explanation:
Simplifying the Complex Fraction
Convert Mixed Numbers to Fractions
56114=5654
Method 1 : LCD Multiplication
The LCD for 6 and 4 is 12
Multiply top and bottom by the LCD
12×5612×54=1015
convert to mixed numbers and
reduce fractions where possible
=1015=23
Method 2 : Fraction Division
Divide the top fraction by the bottom
(multiply top by reciprocal of bottom)
56÷54
=56×45
=2030
convert to mixed numbers and
reduce fractions where possible
=2030=23
520*.04=20.8, or closer to 21 spam emails.
N + 4 / 3 = 1 / 3
Multiply both sides by 3 :
3* ( N + 4 / 3 ) = 3 * ( 1 / 3 )
∴
N + 4 = 1
Subtract 4 from both sides:
N + 4 - 4 = 1 - 4
N = - 3
hope this helps !.