1967 AMC 12 Problem 23
Attempt Problem 23 of the 1967 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1967 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
23.
If is real and positive and grows beyond all bounds, then approaches:
no finite number
Answer: B
Small hint:
Combine the logarithms into one logarithm
Big hint:
Find the limit of
Solution:
The difference is The fraction approaches so the expression approaches
Therefore, the correct answer is B.
Problem 23 in other years
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