Find the Smallest Value of N That Will Make the Inequality

question 26

Multiple Choice

Find the smallest value of N that will make the inequality hold for all n > N.
- $$a _ { n } = ( 1 + 0.153 / n ) ^ { n }$$

• A) L ≈ 1.1653, N = 6
• B) L ≈ 1.153, N = 6
• C) L ≈ 1.1653, N = 2
• D) diverges

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Definitions:

Buffers

Substances that minimize changes in pH by absorbing or releasing hydrogen ions, helping maintain a stable environment in solutions like blood.

Salts

Ionic compounds resulting from the neutralization reaction of an acid and a base, consisting of cations (other than H+) and anions (other than OH-).

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance which is the main constituent of Earth's hydrosphere, and the fluids of all known living organisms.

Mass Number

Of an isotope, the total number of protons and neutrons in the atomic nucleus.