The properties of limits can be used to perform operations on the limits of functions rather than the functions themselves. See
[link] .
The limit of a polynomial function can be found by finding the sum of the limits of the individual terms. See
[link] and
[link] .
The limit of a function that has been raised to a power equals the same power of the limit of the function. Another method is direct substitution. See
[link] .
The limit of the root of a function equals the corresponding root of the limit of the function.
One way to find the limit of a function expressed as a quotient is to write the quotient in factored form and simplify. See
[link] .
Another method of finding the limit of a complex fraction is to find the LCD. See
[link] .
A limit containing a function containing a root may be evaluated using a conjugate. See
[link] .
The limits of some functions expressed as quotients can be found by factoring. See
[link] .
One way to evaluate the limit of a quotient containing absolute values is by using numeric evidence. Setting it up piecewise can also be useful. See
[link] .
Section exercises
Verbal
Give an example of a type of function
whose limit, as
approaches
is
If
is a polynomial function, the limit of a polynomial function as
approaches
will always be
When direct substitution is used to evaluate the limit of a rational function as
approaches
and the result is
does this mean that the limit of
does not exist?
What does it mean to say the limit of
as
approaches
is undefined?
It could mean either (1) the values of the function increase or decrease without bound as
approaches
or (2) the left and right-hand limits are not equal.
The amount of money in an account after
years compounded continuously at 4.25% interest is given by the formula
where
is the initial amount invested. Find the average rate of change of the balance of the account from
year to
years if the initial amount invested is $1,000.00.
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
kaha biratnagar
Amisha
ys
Amisha
kina k vo
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.