Calculus Magic

1) What is the DIFFERENCE between finding the limit of a function at x = c and actually plugging in the number x = c? When are the two cases the SAME?

limit : When finding the limit of a function at x = c you are looking at numbers going closer and closer to the Consent number at the value of x. Finding the limit of a function at x=c is like a fortune teller trying to predict where the limit will be at.?

Plugging in the number: Plugging in a number into a function is solving the problem and finding the inputs and outputs of a function. Putting constant numbers into a function allows you to graph and find the inverses + inputs/outputs?

The two "magic's" are the same when the limit of X is heading towards constant? :O

2What are the SIMILARITIES between finding the derivativeand finding the slope of a line? What are the DIFFERENCES between the two?

They have the same slope. A derivative of a line is different because it is the slope of the tangent line of a line , whereas a line is a slope of itself..

LIMIT QUESTIONS

1) lim x -> 0 1/2+x - 1/2 / x

2) Any problem involving "Int"

lim -> 2- int x

3)lim x-> 0 sin x / 2x^2 - x