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Find the value of lim (n→[infinity]) 1 - n²/n.

A. 1
B. 0
C. [infinity]
D. -[infinity]

User Teuneboon
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1 Answer

6 votes

Final answer:

The limit as n approaches infinity of 1 - n²/n simplifies to 1 - n, which approaches negative infinity as n becomes very large.

Step-by-step explanation:

To find the value of the limit lim (n→∞) 1 - n²/n, we can simplify the expression under the limit. The expression simplifies to 1 - n. As n approaches infinity, the term -n will become increasingly negative, meaning the overall value will approach negative infinity. Therefore, the answer is D. -∞.