Intro to limits and their properties. (Symbols were not working when set created therefore old school/other means used) :)

### Limit does not exist

f(x) approaches different number from right side of c than it approaches from left side of c

### Epsilon/Delta definition of a Limit

Let f be a function defined on an open interval containing c (except possibly at c) and let L be a real number. Then: lim f(x) = L (as x-->c) means that for each Epsilon>0 there exists a Delta>0 such that if 0<[x - c]<Delta, then [f(x) - L]<Epsilon.

### Derivative of a Function

f'(x) = lim(as **x-->0) {f(x+**x) - f(x)}/*x provided the limit exists. For all x for which this limit exists, f' is a function of x.

### Intermediate Value Theorem (IVT)

If f is continuous on the closed interval [a,b] and k is any number between f(a) and f(b), then there is at least one number c in [a,b] such that f(c) = k