Learn to evaluate the left and right hand limits with absolute value constraints

The video tutorial covers the concept of absolute value inequalities, explaining how they can be broken down into 'and' and 'or' inequalities. It then delves into evaluating limits at specific points to determine continuity, using examples to illustrate the process. The tutorial concludes with a recap of the key points discussed.

What does the inequality |X| < 1 translate to in terms of 'and' inequality?

• X < 1 and X > -1

• X > 1 or X < -1

• X > 1 and X < -1

• X < 1 or X > -1

When evaluating limits for continuity, what must be true for a function to be continuous at a point?

• The left-hand limit must be greater than the right-hand limit

• The left-hand limit must be less than the right-hand limit

• The left-hand limit must not exist

• The left-hand limit must equal the right-hand limit

What is the result of evaluating the limit as X approaches 1 from the left using the tangent function?

• 1

• 2

• -1

• 0

How is the limit as X approaches -1 from the right evaluated using the unit circle?

• Using 60 degrees

• Using -45 degrees

• Using 180 degrees

• Using 90 degrees

What conclusion can be drawn if both left and right limits exist and are equal at a point?

• The function has a horizontal asymptote at that point

• The function has a vertical asymptote at that point

• The function is continuous at that point

• The function is discontinuous at that point