Exploring Properties of Limits and Direct Substitution

What is the limit of a constant b as x approaches c?

• 1

• 0

• b

• c

If x approaches a constant c, what does the limit of x equal?

• c

• 1

• x

• 0

What is the limit of x squared as x approaches 3?

• 3

• 12

• 6

• 9

What property allows you to multiply the limit of a function by a scalar?

• Product property

• Quotient property

• Scalar multiplication property

• Sum property

How do you find the limit of a sum or difference of two functions?

• Multiply the limits

• Divide the limits

• Find the limits individually and then add or subtract

• Add or subtract the functions before finding the limit

What must the limit k not be when applying the quotient property?

• -1

• Infinity

• 0

• 1

What is the result of the limit of x as x approaches pi, multiplied by the cosine of pi?

• pi

• 1

• -pi

• 0

What is the limit of the square root of x as x approaches 9?

• 6

• 9

• 81

• 3

If x approaches 3, what is the limit of x plus 4 squared?

• 7

• 16

• 49

• 25

What is the limit of 5 times x as x approaches 4?

• 5

• 9

• 4

• 20