다항함수의 극한값 계산하기의 정답은?

이 문제의 정답은 3번입니다. 자세한 풀이는 Mathology에서 확인하세요.

H2-LIMIT-2026-05-22-D1-BULK001매우 쉬움함수의 극한과 연속

다항함수의 극한값 계산하기

주어진 다항함수의 특정 점에서의 극한값을 계산하는 문제입니다.

2026학년도 수능고등학교 2학년

문제

함수 $f(x) = x^2 + 3x - 5$ 에 대하여 $\lim_{x \to 2} f(x)$ 의 값은?

x y

1 2 3 4

  <line x1="170" y1="250" x2="170" y2="256" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="170" y="270" text-anchor="middle">-1</text>
  <line x1="140" y1="250" x2="140" y2="256" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="140" y="270" text-anchor="middle">-2</text>
  <line x1="110" y1="250" x2="110" y2="256" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="110" y="270" text-anchor="middle">-3</text>
  <line x1="80" y1="250" x2="80" y2="256" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="80" y="270" text-anchor="middle">-4</text>
  <line x1="50" y1="250" x2="50" y2="256" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="50" y="270" text-anchor="middle">-5</text>
  <line x1="20" y1="250" x2="20" y2="256" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="20" y="270" text-anchor="middle">-6</text>

  <!-- Y-axis ticks -->
  <line x1="200" y1="200" x2="194" y2="200" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="190" y="205" text-anchor="end">5</text>
  <line x1="200" y1="150" x2="194" y2="150" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="190" y="155" text-anchor="end">10</text>
  <line x1="200" y1="100" x2="194" y2="100" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="190" y="105" text-anchor="end">15</text>
  <line x1="200" y1="50" x2="194" y2="50" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="190" y="55" text-anchor="end">20</text>
  <line x1="200" y1="300" x2="194" y2="300" stroke="#1F2937" stroke-width="2" vector-effect="non-scaling-stroke"/>
  <text x="190" y="295" text-anchor="end">-5</text>

f(x) = x² + 3x - 5

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