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人気のある微分積分 >

limit as x approaches pi/2 of tan^2(x)

解

x \to \frac{π}{2} lim (tan^{2} (x))

解

\infty

解答ステップ

x \to \frac{π}{2} lim (tan^{2} (x))

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

不定形式の場合を除く

= (x \to \frac{π}{2} lim (tan (x)))^{2}

共通限度を適用する:

x \to \frac{π}{2} lim (tan (x)) = - \infty

= (- \infty)^{2}

無限大の特性を適用する:

(- \infty)^{n} = \infty, n

is even

= \infty

グラフ

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