Determine Whether the Improper Integral Converges or Diverges $$\int _ { 1 } ^ { \infty } \frac { e ^ { x } } { \sqrt { 1 + x ^ { 2 } } } d x$$

question 37

Multiple Choice

Determine whether the improper integral converges or diverges.
- $$\int _ { 1 } ^ { \infty } \frac { e ^ { x } } { \sqrt { 1 + x ^ { 2 } } } d x$$

• A) Converges
• B) Diverges

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Definitions:

Preconscious

Refers to thoughts or feelings that are not immediately in one's conscious awareness but can be easily accessed.

Defence Mechanism

Unconscious mental tactics employed to shield oneself from the distress caused by thoughts or feelings that are deemed unacceptable.

Rationalization

A defense mechanism in which controversial behaviors or feelings are justified and explained in a seemingly rational or logical manner to avoid the true explanation.

Projection

A defense mechanism where an individual attributes their own unacceptable thoughts, feelings, or motives to someone else.