Algebra vs. Calculus

1. There is a difference between finding the limit as x aprroaches c than actually plugging in c into the function. In the function, there might not be a specific output when you input c, but when you are finding the limit as x aprroaches c you can find out a specific output. In other occasions, the function may have a output that when graphed, can not be seen where the limit is or a different output as the limit approaches c. There are cases when the output are the same because there is an exact output in the function for c.

2.Similarities in finding the derivative and the slope of a line is because you are finding the change of y over the change of x. When finiding a derivative, you are finding the slope of a tangent line to find out what is going to be your y value. The formulas are also similar, finding the slope of a line you need y1-y2/x1-x2, for finding the derivative its the same concept but a more complex way. They are different because when finding the derivative at a x, you are not finding the exact change of y over the change of x of the graph, but of the tangent line.

LImits

Sorry for the delay, but better late then never

So Limits is what is the hardest for me so far, theres just some things that confuse me

1. What really confuses me about limits is using them to find the continuity, discontinuity and points of conitnuity. I also dont really understand if their is limit of infinity or if there is NO limit at all, i dont know what is the difference between them.

2. I also have troubles finding the limit as it aproachest infinity and negative infinity without a graph. With graphs i can pretty much find it but without them i have trouble if the equation is very large.

3. Limits are also confusing when using them to find the slope of tangent and secant, im confused whether we have to find the limit as f(x) approahes 0 or as it approaches a certain constant.