MATH-M 211 Lecture Notes - Fall 2018 Lecture 8 - Farad
Document Summary
Def. f is continuous at a if the limit x goes to a f(x)=f(a) If f is continuous, then we need to check 3 conditions: x goes to a limit of f(x) exists, f(x) f is defined at a, the limit is equal to f(x) Limit f(x) exists but f is defined at a. F is continuous from the right at the point at a number a if limit x goes to a+ Def, a function f is continuous on an interval i. if f is continuous at every number in i: f(x)=1/x2 [1 , 2 ] The following functions are continuous at every numbers in their domain polynomials, rational functions, root functions, trigonometric functions, exponential, logarithmic. Lim x 1 ln(sin x + cos ex^2+1)) G is continuous at a such that g(a)=b f(g(x)) is continuous at a, f(g(a))= f(b) N is a number because f(a) and f(b) then, there exists a number c such that f(c)=n.
