Determine If the Given Function Can Be Extended to a Continuous

question 321

Multiple Choice

Determine if the given function can be extended to a continuous function at x = 0. If so, approximate the extended
function's value at x = 0 (rounded to four decimal places if necessary) . If not, determine whether the function can be
continuously extended from the left or from the right and provide the values of the extended functions at x = 0.
Otherwise write "no continuous extension."
- $$f ( x ) = \frac { 10 ^ { 2 x } - 1 } { x }$$

• A) f(0) = 0
• B) f(0) = 0 only from the right
• C) No continuous extension
• D) f(0) = 0 only from the left

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Definitions:

Expected Value

The long-run average value of repetitions of the experiment it represents, often used in probability and statistics to predict outcomes of random events.

False Positive

An error in data testing in which a test result improperly indicates the presence of a condition (such as a disease when it is not present).

Expected Gain

The anticipated value or profit that results from a particular action or decision, often calculated in statistical or financial models.

False Negative

An error in test results in which a positive condition is incorrectly reported as negative.