Determining Limits with Algebraic Techniques

What is the limit of the function x^2 + 2x - 4 as x approaches -1?

• 6

• 1

• -5

• 0

If x approaches 2 for the constant function y = 6, what is the limit?

• 2

• 6

• 0

• Infinity

What is the result of the limit as x approaches 0 for the function (4x^2 - 5x) / x?

• Indeterminate

• 0

• -5

• 4

When factoring the expression (2x^2 + 13x - 7) / (x + 7), what is the limit as x approaches -7?

• -15

• Indeterminate

• 0

• 7

What does the graph of a function with a vertical asymptote at x = -6 indicate about the limit?

• The limit is infinity

• The limit is -6

• The limit does not exist

• The limit is 0

What is the limit of (1 - cos(x)) / x as x approaches 0?

• Infinity

• 0

• -1

• 1

For the limit of sin(3x) / x as x approaches 0, what is the result?

• Infinity

• 3

• 1

• 0

What is the limit of sin(7x) / x * x / sin(9x) as x approaches 0?

• 0

• 9/7

• 7/9

• 1

How do you factor the expression cos^2(x) - 1?

• (cos(x) + 1)^2

• (cos(x) - 1)(cos(x) + 1)

• (cos(x) - 1)^2

• cos(x) - 1

What is the limit of (cos^2(x) - 1) / (x * (cos(x) + 1)) as x approaches 0?

• 0

• 1

• -1

• Infinity