Evaluating Limits Using Properties of Limits

The video tutorial explains how to evaluate limits using properties of limits. It covers evaluating limits with constants, sums, products, and complex expressions. The tutorial also demonstrates how to handle division of functions when evaluating limits. Each section provides step-by-step instructions and examples to illustrate the concepts.

What is the limit of f(x) as x approaches a, if it is given that the limit is 4?

• 3

• 4

• 5

• 6

How do you evaluate the limit of 4f(x) as x approaches a?

• Divide the limit of f(x) by 4

• Subtract 4 from the limit of f(x)

• Add 4 to the limit of f(x)

• Multiply the limit of f(x) by 4

What is the result of the limit as x approaches a of 3f(x) + 5g(x)?

• 15

• -3

• 0

• 12

What is the limit of 5g(x) as x approaches a, given that the limit of g(x) is -3?

• 5

• -5

• 15

• -15

What is the limit of 3f(x) as x approaches a, given that the limit of f(x) is 4?

• 12

• 8

• 16

• 20

How do you find the limit of f(x) * g(x) as x approaches a?

• Divide the limits of f(x) and g(x)

• Add the limits of f(x) and g(x)

• Multiply the limits of f(x) and g(x)

• Subtract the limits of f(x) and g(x)

What is the limit of g(x) raised to the fourth power as x approaches a?

• 243

• 81

• 27

• 9

How do you evaluate the limit of f(x) divided by g(x) as x approaches a?

• Add the limits of f(x) and g(x)

• Divide the limit of f(x) by the limit of g(x)

• Multiply the limits of f(x) and g(x)

• Subtract the limits of f(x) and g(x)

What is the limit of the square root of f(x) as x approaches a?

• 3

• 4

• 2

• 1

What is the limit of negative three raised to the fourth power?

• -27

• -81

• 27

• 81