Find the Limit and Determine If the Function Is Continuous $$\lim _ { x \rightarrow 4 } \sin \left( x \sin ^ { 2 } x + x \cos ^ { 2 } x + 3 \right)$$

question 274

Multiple Choice

Find the limit and determine if the function is continuous at the point being approached.
- $$\lim _ { x \rightarrow 4 } \sin \left( x \sin ^ { 2 } x + x \cos ^ { 2 } x + 3 \right)$$

• A) does not exist; no
• B) sin -1; yes
• C) sin 7; no
• D) sin 7; yes

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Definitions:

Hypnotic Induction

A process or technique designed to put an individual into a state of hypnosis, marked by heightened focus, relaxation, and suggestibility.

Imaginative

The ability or tendency to form new ideas, images, or concepts not present to the senses, often involving creativity and inventiveness.

Frontal Lobe

The front part of the brain associated with higher cognitive processes such as decision-making, planning, and problem-solving.

Selective Attention

The focusing of conscious awareness on a particular stimulus while ignoring others, demonstrating our limited capacity to process information.