1. The difference between finding the limit of a function as x=c and pluging in x=c is that finding the limit at x=c your finding a coordinate as you approach x from both sides. meaning it doesn't exist so ur trying to get as close as possible to get an answer. there has to be a domain issue.. i think
just plugging x=c to the function, that is the answer. because it actually exists.
2.the similarities between finding the slope and the derivative is nothing because they are the SAME. your finding the SLOPE. the difference between them is the derivative is finding the slope of the tangent line in that function the slope is the slope .
Monday, December 21, 2009
Monday, December 7, 2009
I HATE Limits :)
First of all what are limits ? what are they used for? Why are they the base of all calculus.
When Ms.Hwang Talks about limits i blank out because its like she is speaking another language.
There are simple problems like
f(x)= lim(x►1) (x^2-1)/(x-1)
1.First you foil out (x^2-1)
(x-1)(x+1)/(x-1)
2. Then the (x-1) on top and bottom cancel out and become 1.
(not ZERO)
3. Last you plug in the number that is with the limit to see if the limit exists.
(x+1) = 1+1 = 2
The limit is 2.
Another thing i dont know how to do is foiling out formulas like this
2x^2-5x-3
i was never taught that!!! I think???
so that is about it.
When Ms.Hwang Talks about limits i blank out because its like she is speaking another language.
There are simple problems like
f(x)= lim(x►1) (x^2-1)/(x-1)
1.First you foil out (x^2-1)
(x-1)(x+1)/(x-1)
2. Then the (x-1) on top and bottom cancel out and become 1.
(not ZERO)
3. Last you plug in the number that is with the limit to see if the limit exists.
(x+1) = 1+1 = 2
The limit is 2.
Another thing i dont know how to do is foiling out formulas like this
2x^2-5x-3
i was never taught that!!! I think???
so that is about it.
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