Limits and Intermediate Forms (2.2.2)

Question 1

• To evaluate a limit at a value where a function is well behaved, substitute the value into the function expression.

Answer 1

• To evaluate a limit at a value where a function is well behaved, substitute the value into the function expression.

Question 2

• Limits that produce indeterminate forms may or may not exist. An indeterminate form is a signal that more work is needed to evaluate the limit.

Answer 2

• Limits that produce indeterminate forms may or may not exist. An indeterminate form is a signal that more work is needed to evaluate the limit.

Question 3

• If direct substitution produces zero divided by a non-zero number, then the limit equals zero. If it produces a non-zero number divided by zero, the limit is undefined.

Answer 3

• If direct substitution produces zero divided by a non-zero number, then the limit equals zero. If it produces a non-zero number divided by zero, the limit is undefined.