so my blog is a bit late but lets see yesterday was my birthday and the saints actually won the super bowl
wow.
since everyone feared the limit lesson of chapter i guess thats what ill reflect on
there are two types of limit equations
the ones that use rules and the ones that use a calculator
the ones that use rules have simple hints to memorize for solving
the only ones that use rules are the polynomial equations problems
memorize this
((the rules))
t- top lead co
b- bottom lead co
t=b then coefficients
t>b then infinity
t
if you get a problem with a limit that is a polynomial equation
use the rules.
each and every time
the other type of problem is the one that calls for the use of a calculator
every single problem with limits that is not a polynommial equation calls for the use of a calculator
all you have to do is plug in for n three different times with
100
1000
10000
then plug into calculator
record what each outcome is and decipher what the numbers are headed toward which will then be your answer
what i dont understand is the sigma notation lesson
can anyone give me simplified hints or steps for working the sigma exuations
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You have to use either a geometric or arithmetic formula to find the summand and then find the index and top number. obviously the sigma sign goes in the middle of all of this but i do not know how to show this on the computer.
ReplyDeleteex. 2+4+6+8+10+12
this is arithmetic because you are adding 2 to every number. you plug this into your arithmetic formula and get tn=2+(n-1)(2) for the formula-this is your summand.
For the index you plug in any number into the formula that will give you the first number for the series.
so for the top number you count the numbers in the series, and you write the number you get for the answer. for this problem it would be 6. (in a geometric problem you might start with 0 for the first number but in arithmetic you start on 1)
to evaluate Sigma,
ReplyDeleteFirst, define your limits of summation and your summand.
Then, plug in numbers of the limits into your summand.
Last, generate a series.
So if the limits of summation are 2&5 and the summand is 3h+1, you would plug in the numbers 2,3,4,&5.
It would generate the series
--7,10,13,16
The numbers on the sigma can be confusing so ima explain them
ReplyDeletethe numbers at the top and the n=# thing is the limits of summation, the number or letter after the sigma sign is the summand and the bottom variable which is the n=# thing is called the index.