Find the Limit of the Function Algebraically $$\lim _ { x \rightarrow \frac { 1 } { 4 } } \frac { x ^ { 4 } - 1 } { x - 1 }$$

question 76

Multiple Choice

Find the limit of the function algebraically.
- $$\lim _ { x \rightarrow \frac { 1 } { 4 } } \frac { x ^ { 4 } - 1 } { x - 1 }$$

• A) 4
• B) 2
• C) Does not exist
• D) 0

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Definitions:

Pygmalion Effect

The phenomenon whereby higher expectations lead to an increase in performance; a form of self-fulfilling prophecy in the context of personal or organizational development.

Expectations

Beliefs or anticipations about the way things will or should be, often shaping behavior and perceptions.

Performance

A measurement of how effectively a task or activity is being accomplished.

Self-Fulfilling Prophecy

A psychological phenomenon where a belief or expectation, whether correct or not, influences behavior in a way that causes the belief to become a reality.