Provide an Appropriate Response $\lim _{n \rightarrow \infty} \frac{1}{n^{c}}=0$

question 147

Multiple Choice

Provide an appropriate response.
-It can be shown that $\lim _{n \rightarrow \infty} \frac{1}{n^{c}}=0$ for $c>0$ Find the smallest value of N such that $\mid\frac{1}{n^{c}}\mid$ < $\varepsilon$ for all n> N if

• A) 11
• B) 13
• C) 10
• D) 12

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Definitions:

Needles

Sharp, pointed instruments attached to syringes for the purpose of piercing the skin to inject substances into the body or extract fluids.

Recapped

The act of covering a needle with a cap or putting a cap back on a container to prevent contamination or exposure.

Injectable Medication

Drugs that are administered through a needle or syringe directly into the body tissue, bloodstream, or muscles.

Round Dose

The process of adjusting a medication's dosage to a more convenient or standardized figure for administration.