Continuity and Limits at Infinity

Is this continuous at -1? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 3? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 2? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 1? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 2? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 0? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 1? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Is this continuous at 0? If not, which rule does it break?

• It is continuous

• The function does not exist

• The limit does not exist

• The function value does not equal the limit

Find the value of x where the function is discontinuous.

(a)  

Find the value of x where the function is discontinuous.

(a)