A Function F Is Continuous at the Point If

question 150

Multiple Choice

A function f is continuous at the point if the following conditions are satisfied. 1. is defined.
2) exists.
3) .
Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.

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Definitions:

Cyclic Hemiacetal

A molecule formed from the reaction between an aldehyde and an alcohol resulting in a ring structure containing an oxygen atom.

Ring Oxygen

An oxygen atom that is incorporated into a cyclic structure, often contributing to the ring's chemical properties.

Haworth Structure

A way of representing cyclic sugars as planar rings, focusing on the arrangement of hydroxyl groups around the ring, used in carbohydrate chemistry.

β-D-Glucopyranose

A chemical structure of glucose in its cyclic form, where the glucose molecule forms a six-membered ring, with the hydroxyl group on the first carbon in the beta configuration.