How to evaluate the limit at the end of a radical graph left right and general

The video tutorial explains the concept of general limits, emphasizing that for a general limit to exist, both the left and right hand limits must be the same. The right hand limit at X = -1 is discussed, showing it approaches 1, while the left hand limit does not exist due to the absence of values to the left of -1. The video also addresses common misconceptions about evaluating limits at X = -1 and introduces the concept of H of X, explaining how it relates to the height of the function as X approaches -1.

What must be true for a general limit to exist?

• The left-hand and right-hand limits must be equal.

• The function must be continuous.

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

• The function must be differentiable.

Why does the left-hand limit not exist as x approaches -1?

• Because the function is discontinuous.

• Because the right-hand limit is greater.

• Because there is no value to the left of -1.

• Because the function is not defined at -1.

What is the value of the right-hand limit as x approaches -1?

• 1

• 2

• Does not exist

• 0

What is the condition for a general limit to not exist?

• The function is defined at the point.

• The function is differentiable.

• The left-hand and right-hand limits are not equal.

• The function is continuous.

What does the height of the function refer to as x approaches a value?

• The derivative of the function.

• The integral of the function.

• The slope of the function.

• The output value of the function.