Limit Questions

Question 1

What are Limits importance in calculus?

Answer 1

Defining integrals, derivatives and continuity, concerning behaviour of the function at a particular point.

Question 2

What are limits?

Answer 2

Unique real numbers in real-valued function; if you consider a real-valued function f and the real number c, limit defines as lim x—>c f(x) =L

Question 3

What are the two limits a function can approach?

Answer 3

One where the variable approaches its limit through values larger than the limit and the other where the variable approaches its limit through values smaller than the limit.

Question 4

Example of an independent variable and dependent variable.

Answer 4

Age in years is not affected by diet, exercise etc.

A test score can be dependent on sleep, study time etc.

Question 5

What is an example of a limit with relation to the function f (X) = x + 2?

Answer 5

The limit of f at x =3 is the value f approaches as we get closer to x = 3, in graph form being the y value we approach when we look at the graph of f and get closer to the point of the graph where x =3/

Question 6

Mathematically what would limit of f (x) = x + 2 look like in a graph?

Answer 6

A P1 of (1 , 3) moves across a graph until close to x=3, of which, y value(the value of the functions) gets really close to 5, thus limit of x=3 is 5