Understanding Limits in Calculus

What is the limit of the function as x approaches 3 from the left?

• Does not exist

• 3

• 2

• 1

When x approaches 3 from the right, what value does the function approach?

• 3

• 2

• 1

• Does not exist

Why does the limit of the function as x approaches 3 not exist?

• The left and right limits are different

• The function approaches infinity

• The left and right limits are equal

• The function is undefined at x = 3

What is the limit of the function as x approaches 0?

• 1

• Does not exist

• -1

• 0

At which points does the limit of the function not exist?

• x = 0 and x = 3

• x = 1 and x = -1

• x = 3 and x = -3

• x = 0 and x = -3