Google Classroom
GeoGebraGeoGebra Classroom

Graphically Exploring Limits

What is the limit of f as x approaches 5 from the left?

You can drag the gray dot, x-value, on the x-axis. 1. Drag the x-value so that it is approaching 5 from the left, or from the negative side. 2. Watch the values of f(x) = y as you slide the x-value towards 5 from the left. (DON'T LET THE GRAY DOT TOUCH x = 5, but get as close as you can) 3. This is the limit of f(x) as x approaches 5 from the left:

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

What is the limit of f as x approaches 5 from the right?

1. Drag the x-value so that it is approaching 5 from the right, or from the positive side. 2. Watch the values of f(x) = y as you slide the x-value towards 5 from the right. (DON'T LET THE GRAY DOT TOUCH x = 5, but get as close as you can) 3. This is the limit of f(x) as x approaches 5 from the left:

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

What is f(5)?

Enter 5 into the box labeled "x = ", you will see the value of f(x) at x = 5.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Check for Understanding

Question 1

What is ?

Question 2

What is ?

Question 3

What is ?

Question 4

What is ?