Limits - Trial Questions

What is the definition of a limit in calculus?

• The lowest value of a function

• The average value of a function

• The highest value of a function

• The value that a function or sequence approaches as the input or index approaches some value.

Explain the concept of a limit using an example.

• The concept of a limit in calculus is the value that a function or sequence approaches as the input or index approaches some value.

• A limit is the value of a function at a specific point

• A limit is the average value of a function

• The concept of a limit is the maximum value of a function

Evaluate the limit of (3x^2 - 2x + 5) as x approaches 2.

• 10

• 13

• 25

• 4

What is the limit of 1/x as x approaches infinity?

• Infinity

• 2

• 0

• 1

Determine the limit of e^x as x approaches negative infinity.

• undefined

• 0

• e

• 1

What is the definition of a one-sided limit?

• The limit of a function as it approaches a point from both the left and the right

• The limit of a function as it approaches a point from only one direction, either from the left or from the right.

• The limit of a function as it approaches a point from all directions

• The limit of a function as it approaches a point from the top and the bottom

Calculate the one-sided limit of f(x) = |x| at x = 0.

• undefined

• 0

• 1

• -1

How do you find the limit of a piecewise function?

• Ignore the piecewise nature and find the limit as if it were a continuous function

• Evaluate the limit from both sides of the point where the function changes.

• Find the average of the function

• Take the derivative of the function

What is the limit of the function as x approaches -4 from the left?

• 2
• -4
• DNE
• -2

What is the limit?

• Infinity
• 20
• DNE
• 12