Answer:
Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x. This is easier to write and understand. This is why the scientific notation is used over standard.
Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
Answer:
Step-by-step explanation:
As the given Augmented matrix is
Step 1 :
↔
Step 2 :
↔
Step 3 :
↔
Step 4 :
↔
,
↔
Step 5 :
↔
Step 6 :
↔
,
↔
∴ we get