Determine Whether the Improper Integral Converges or Diverges $$\int _ { 1 } ^ { \infty } \frac { x ^ { 6 } } { \sqrt { e ^ { x } - 1 } } d x$$

question 144

Multiple Choice

Determine whether the improper integral converges or diverges.
- $$\int _ { 1 } ^ { \infty } \frac { x ^ { 6 } } { \sqrt { e ^ { x } - 1 } } d x$$

• A) Diverges
• B) Converges

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Definitions:

Indeterminate Sentencing

A type of prison sentence that does not have a fixed length and can vary within a prescribed range.

Determinate

Having a fixed, definite, or clearly defined nature or limit.

Strict Liability

A legal doctrine holding parties liable for damages or injuries regardless of fault or intention, often applied in cases involving inherently dangerous activities or products.

Mens Rea

Latin for “guilty mind”; the mental state accompanying a wrongful behavior.