The Limit Laws, Part II (2.1.5)

Question 1

• It is sometimes useful to examine limits from strictly the left or right side. Such limits are one-sided limits. A
left-handed limit is the value the function approaches only from the left (increasing). A right-handed limit is the value the function approaches only from the right (decreasing).

Answer 1

• It is sometimes useful to examine limits from strictly the left or right side. Such limits are one-sided limits. A
left-handed limit is the value the function approaches only from the left (increasing). A right-handed limit is the value the function approaches only from the right (decreasing).

Question 2

• A limit exists only if the left-handed and right-handed limits both exist and are equal.

Answer 2

• A limit exists only if the left-handed and right-handed limits both exist and are equal.