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:
ask your teacher
Step-by-step explanation:
Answer:

Step-by-step explanation:
The magnitude of 3D vector
can be given by the following:

Plugging in given values, we have:
.
Answer:GCF=17
To find the greatest common factor, or GCF, of the numbers, we first need to list the prime factors of both 85 and 51
52=3*17
85=5*17
17 is the sole common factor that these two numbers have in common, therefore 17 is the GCF.
To simplify the ratio, simply divide both numbers by 17.
85:51 becomes 5:3
5x + 20 because rise over run 5 over 1 so its 5x and 20 is on the y intercept line
Step-by-step explanation: