Solving Limits Graphically

Discontinuities

100

Find the places where this expression is discontinuous.

What is: 0

200

Find the places where this expression is discontinuous.

• 

What is: -3, -1, 2

300

Find the places where this expression is discontinuous.

• 

What is: -2, 3

400

Find the places where this expression is discontinuous.

• 

What is: -2, -1, 1

500

Find the places where this expression is discontinuous.

What is: 0, 4, 6

One-sided limits

100

Find
lim f(x)
x-->2^-

What is:
lim f(x) = 4
x--2^-

200

Find:
lim f(x)
x-->3^-

What is:
lim f(x)= -1
x-->3^-

300

Find:
lim f(x)
x-->1⁺

What is:
lim f(x)= 3
x-->1⁺

400

Find:
lim f(x)
x-->4⁺

What is:
lim f(x)= 4
x-->4⁺

500

Find:
lim f(x)
x-->1⁺

What is:
lim f(x)= 4
x-->1^-

Two-sided limits

100

Find:
lim f(x)
x-->2

What is:
lim f(x)= 4
x-->2

200

Find:
lim f(x)
x-->2

<<p

What is:
lim f(x)= 4
x-->2

300

Find:
lim f(x)
x-->0

<

What is:
lim f(x)= 1
x-->0

400

Find:
lim f(x)
x-->0

What is:
lim f(x)= 2
x-->0

500

Find:
lim f(x)
x-->2

What is:
lim f(x)= 1
x-->2

Continuous limits

100

Find:
lim f(x)
x-->2

What is:
lim f(x)= 4
x-->2

200

Find:
lim f(x)
x-->6

What is:
lim f(x)= 0
x-->6

300

Find:
lim f(x)
x-->0

What is: DNE

400

Find:
lim f(x)
x-->6

What is: DNE

500

Find:
lim f(x)
x-->π/2

What is:
lim f(x)= 1
x-->π/2

Miscellaneous

100

Find:
lim f(x)
x-->-5

What is: DNE

200

Find:
lim f(x)
x-->0

What is:
lim f(x)= 0
x-->0

300

Find:
lim f(x)
x-->2⁺

What is:
lim f(x)= 3
x-->2⁺

400

Find:
lim f(x)
x-->1^-

What is:
lim f(x)= 2
x-->1^-

500

Find:
lim f(x)
x-->2⁺

What is:
lim f(x)= -0.5
x-->2⁺