Calculus quiz 24/10/22

• f(x) is defined at a

• As x approaches a,

  f(x) gets closer to L.

• The limit does not exist.

• f(x) must be defined.

• The left-hand limit as x approaches a must exist.

• he right-hand limit as x approaches a must exist.

• The left-hand and right-hand limits must be equal.

• 0

• Undefined

• Does not exist

Which statement best describes one-sided limits?

• A limit that only considers values greater than a.

• A limit that only considers values less than a.

• A limit that approaches a value from one direction.

• A limit that considers both sides of a point.

• A limit exists if the function is continuous.

• A function’s limit can be approximated using one-sided limits.

• The limit of a sum is the sum of the limits.

Which of the following describes the Direct Substitution Property for limits?

• It only applies to rational functions.

• It allows substitution of x=a in polynomial and rational functions when a is in the domain.

• It cannot be used for any rational functions.

• It applies to trigonometric limits only

• The limit at x=2 is 3.

• The limit at x=2 is 5.

• The function is continuous at x=2.

• The limit as x approaches 2 does not exist.

• The function is defined at x=0.

• The limit exists.

• The function is continuous at x=0.

• 1

• 0

• Does not exist

• The limit at x=a exists.

• The limit at x=a does not exist.

• The limit is equal to the average of the left and right limits.

• The limit is equal to f(a).