Provide an Appropriate Response $\varepsilon > 0$ , Find an Interval $I = ( 1,1 + \delta ) , \delta > 0$

question 231

Multiple Choice

Provide an appropriate response.
-Given $\varepsilon > 0$ , find an interval $I = ( 1,1 + \delta ) , \delta > 0$ , such that if $x$ lies in $\mathrm { I }$ , then $\sqrt { x - 1 } < \varepsilon$ . What limit is being verified and what is its value?

• A) \(\lim _ { x \rightarrow \mathbf { z } ^ { + } } \sqrt { x } = 1\)
• B) \(\lim _ { x \rightarrow \theta ^ { - } } \sqrt { x - 1 } = 0\)
• C) \(\lim _ { x - \mathbf { z } ^ { + } } \sqrt { x - 1 } = 0\)
• D) \(\lim _ { x \rightarrow 3 ^ { - } } \sqrt { x - 1 } = 0\)

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Definitions:

Normal Behavior

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Erikson

A developmental psychologist known for his theory on the psychosocial development of humans, which outlines eight stages that individuals pass through from infancy to adulthood.

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Erikson’s fifth stage of psychosocial development, where adolescents face the challenge of developing a clear sense of self or risk remaining confused about their identity.

Jung

Carl Jung, a Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for his concepts of the collective unconscious, archetypes, and individuation.