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人気のある微分積分 >

limit as x approaches 7+of (x^2-4x-21)/(|x-7|)

解

x \to 7 + lim (\frac{x ^{2} - 4 x - 21}{∣ x - 7 ∣})

解

10

解答ステップ

x \to 7 + lim (\frac{x ^{2} - 4 x - 21}{∣ x - 7 ∣})

x - 7

は

x \to 7 +

の場合, 正になる。従って

∣ x - 7 ∣ = x - 7

= x \to 7 + lim (\frac{x ^{2} - 4 x - 21}{x - 7})

簡素化

\frac{x ^{2} - 4 x - 21}{x - 7} : x + 3

= x \to 7 + lim (x + 3)

値を挿入する

x = 7

= 7 + 3

簡素化

= 10

グラフ

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