Korea Grade 12 Calculus II free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper Korea Grade 12 Calculus II set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
lim (n → ∞) (an² + 4n + 5) ÷ (3n² + 4n + 7) = −2 일 때, 상수 a의 값은? [2점]
A −12
B −10
C −6
D −2
E 6
Correct answer: C — −6
- 분모, 분자를 n²으로 나누면 분자는 a + b/n + c/n² → a, 분모는 3 + (…)/n + (…)/n² → 3 로 수렴합니다.
- 따라서 극한값은 a/3 = −2 이고 a = −6 입니다.
- 그러므로 a = −6 입니다.
- 다른 선택지가 틀린 이유:
- A (−12): 결과를 2배로 했습니다.
- B (−10): 정답과 비슷하지만 같지 않습니다. 마지막 계산 단계를 다시 확인해 보세요.
- D (−2): 분모의 최고차항의 계수 3로 나누지 않았습니다.
- E (6): 부호를 반대로 했습니다.
유리식의 수열의 극한은 분모의 최고차항으로 분모, 분자를 나눈 뒤 극한값을 구합니다.
Your sample is downloading. Liked it? Korea Grade 12 Calculus II Paper 1 is the full paper: 30 questions in 100 minutes on the 2015 revised Calculus course (limits of sequences and series, differentiation, integration; 21 five-choice and 9 short-answer), written in Korean, no calculator, with a worked solution for every question.
Get Paper 1 for A$11.99See all 20 papers from A$11.99More free South Korea National Curriculum (Grades 10 to 12) samples
Questions about this sample
What is in the Korea Grade 12 Calculus II free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.
How many full Korea Grade 12 Calculus II papers are there?
20 original papers for Grade 12 (고3) students in South Korea following the 2015 revised curriculum: Calculus (미적분). Each is 30 questions in 100 minutes on the 2015 revised Calculus course (limits of sequences and series, differentiation, integration; 21 five-choice and 9 short-answer), written in Korean, no calculator, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.