Find the Value of the Limit $\lim _ { x \rightarrow \infty } \sqrt { \frac { x + 8 x ^ { 2 } } { 2 x ^ { 2 } - 1 } }$

question 78

Multiple Choice

Find the value of the limit $\lim _ { x \rightarrow \infty } \sqrt { \frac { x + 8 x ^ { 2 } } { 2 x ^ { 2 } - 1 } }$

• A)-2
• B)1
• C) \(- \frac { 1 } { 2 }\)
• D)4
• E) \(\frac { 1 } { 2 }\)
• F)2
• G)0
• H)-1

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Definitions:

Psychoanalysis

A set of psychological and psychotherapeutic theories and methods, originated by Sigmund Freud, emphasizing unconscious motivations and conflicts.

Client-Centered Therapy

A form of psychotherapy developed by Carl Rogers that emphasizes the importance of the therapist’s unconditional positive regard towards the client.

Cognitive Therapy

Cognitive therapy is a form of psychotherapy that emphasizes the identification and restructuring of negative or irrational thoughts and beliefs that contribute to emotional distress and mental health disorders.

Exposure Therapy

A form of psychotherapy that helps individuals confront their fears and anxieties by gradual and repeated exposure to the feared object or context without any danger.