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:

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The regard for one’s own standing or position, characterized by pride in oneself and one’s achievements and a respect for one’s own dignity and worth.

Common Type of Family

The nuclear family, consisting of two parents and their children, once considered the norm in many societies.

Extended Family

An extended family unit that encompasses not just the immediate parents and children, but also includes grandparents, aunts, uncles, and various other kin.

Single-Parent Family

A family that consists of only one parent and his or her children.