#GeeklyHub What is Limit? Continuous and Discontinuous Functions, Limit Rules

Learn about continuous and discontinuous functions. The function is continuous if the limit x approaches to a of the f(x) and equals to f(a), while function is discontinuous when f(x) is not continuous at x=a. We’ll give you a chance to refresh your memory and get over limit definition one more time, as it is crucial part of the topic. Check out the video to learn more about continuous and discontinuous functions!

📚 Time to learn with GeeklyEDU by GeeklyHub 📚

0:00 Introduction
0:23 What is the Limit?
1:10 The Limit Graph Representation
1:42 The Limit Rules
1:59 Which function is Continuous?
2:30 Discontinuous Function Graph
3:40 Theorems to Keep In Mind - rules about polynomial, rational, root, trigonometrical, exponential and logarithmic functions
4:55 Practice Problem #1
5:53 Graphic Representation of Removable Discontinuity
6:05 Practice Problem#2
6:35 Graphic Representation of Asymptotical Discontinuity
6:40 Example Problem - Determine if the Function f(x)=xˆ2 x less than 0; -2x+6 x more than 0 is continuous in x=0
7:19 Graph Representation of Jump Discontinuity
7:26 Problem For You to Solve!

📚Practice problems solved in this video:

Determine if the Function f(x) = (xˆ2+8x+15)/(x+3) is continuous
Determine if the function f(x)=1/(x-5) is continuous in x=-5

#college_math #continuous_functions #discontinuous_functions