limit as x approaches 3+of ((x^2))/(x-3)

解

x \to 3 + lim (\frac{( x ^{2} )}{x - 3})

\infty

解答ステップ

x \to 3 + lim (\frac{x ^{2}}{x - 3})

\frac{x ^{2}}{x - 3} = x^{2} \frac{1}{x - 3}

= x \to 3 + lim (x^{2} \frac{1}{x - 3})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

不定形式の場合を除く

= x \to 3 + lim (x^{2}) \cdot x \to 3 + lim (\frac{1}{x - 3})

x \to 3 + lim (x^{2}) = 9

x \to 3 + lim (\frac{1}{x - 3}) = \infty

= 9 \cdot \infty

無限大の特性を適用する:

c \cdot \infty = \infty

= \infty