Answer:
B
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Answer:
hope it's help you ok have a good day
Answer:
7.00
Step-by-step explanation:
discount = original price *20%
final price = original price - discount
Substituting the equation for discount
final price = original price - original price*20%
Factoring out the original price
final price = original price (1-20%)
Changing to decimal form and putting the final price
5.60 = original price (1-.2)
5.60 = original price (.8)
Divide by each side by .8
5.6/.8 = original price (.8)/.8
7 = original price
By the Stolz-Cesaro theorem, this limit exists if
also exists, and the limits would be equal. The theorem requires that
be strictly monotone and divergent, which is the case since
.
You have
so we're left with computing
This can be done with the help of Stirling's approximation, which says that for large
,
. By this reasoning our limit is
Let's examine this limit in parts. First,
As
, this term approaches 1.
Next,
The term on the right approaches
, cancelling the
. So we're left with
Expand the numerator and denominator, and just examine the first few leading terms and their coefficients.
Divide through the numerator and denominator by
:
So you can see that, by comparison, we have
so this is the value of the limit.