Find $\lim _{x \rightarrow 3}[g(x)-f(x)]$ For $f(x)=3 x^{3}$ And $g(x)=\frac{\sqrt{x^{2}+2}}{5 x^{2}}$

question 114

Multiple Choice

Find $\lim _{x \rightarrow 3}[g(x) -f(x) ]$ for $f(x) =3 x^{3}$ and $g(x) =\frac{\sqrt{x^{2}+2}}{5 x^{2}}$ .

• A) \( \frac{\sqrt{11}}{45}-81 \)
• B) \( \frac{\sqrt{3}}{5}-81 \)
• C) \( \frac{9 \sqrt{11}}{5} \)
• D) \( \frac{\sqrt{3}}{5}+81 \)
• E) limit does not exist

Identify and explain the fundamental attribution error.

Understand self-serving bias and its impact on personal perception.

Comprehend the concepts of actor-observer bias and defensive attribution.

Recognize the role of similarity and attraction in interpersonal relationships.

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Definitions:

Myers-Briggs Type Indicator

A psychological assessment tool that categorizes individuals into 16 personality types based on preferences in how they perceive the world and make decisions.

Problem-Solving Styles

Various approaches or methods individuals use to address challenges, make decisions, and find solutions.

Specific Situations

Particular and distinct conditions or circumstances faced in a given context or at a given time.

Internal Locus

An individual's belief that they can control their life and the outcomes of events through their own actions and decisions.