Understanding Limits Using Tables

What is the main reason for using the table method to solve limits?

• It is the easiest method to understand.

• It can be used when factoring is not possible.

• It is faster than other methods.

• It always gives an exact answer.

Why can't the plug and chug method be used for the limit of 1/x as x approaches 0?

• The function is a polynomial.

• The function is undefined at x = 0.

• The function is continuous at x = 0.

• The function is already factored.

What values are used in the table method to approach x = 0 from the right?

• Values less than 0

• Values equal to 0

• Values slightly greater than 0

• Values greater than 1

What happens to the y-values as x approaches 0 from the right in the function 1/x?

• They approach zero.

• They become infinitely large.

• They remain constant.

• They become negative.

What is the limit of 1/x as x approaches 0 from the left?

• Infinity

• Zero

• One

• Negative infinity

Why does the limit of 1/x as x approaches 0 not exist?

• The function is not defined at x = 0.

• The y-values from the left and right do not match.

• The function is continuous.

• The function is a polynomial.

What is the purpose of verifying the limit using a graph?

• To find the exact value of the limit.

• To visually confirm the behavior of the function.

• To simplify the function.

• To avoid using tables.

What does the graph of 1/x show as x approaches 0 from the right?

• The y-values decrease.

• The y-values remain constant.

• The y-values increase infinitely.

• The y-values become negative.

What does the graph of 1/x show as x approaches 0 from the left?

• The y-values increase.

• The y-values decrease infinitely.

• The y-values become positive.

• The y-values remain constant.

What is emphasized as a crucial rule for limits to exist?

• The y-values must match from both sides.

• The function must be continuous.

• The function must be differentiable.

• The function must be a polynomial.