Determine If the Given Function Can Be Extended to a Continuous

question 75

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."
- $$f ( x ) = \frac { \cos 2 x } { | 2 x | }$$

• A) f(0) = 2 only from the left
• B) No continuous extension
• C) f(0) = 2
• D) f(0) = 2 only from the right

---

Definitions:

Data

Raw facts and figures without context that can be processed to generate information.

Connecting System

A framework or platform that enables different systems or components to link and interact with each other.

Wireline

The transmission of voice and data traffic over wired networks, typically referring to traditional landline telephony and broadband internet services.

Wireless

Pertains to technology allowing the transmission of data over distances without the need for wires or cables, utilizing electromagnetic waves such as radio frequencies.