limit as x approaches infinity of 2/x+pi

解答

x \to \infty lim (\frac{2}{x} + π)

π

十进制

3.14159 \dots

求解步骤

x \to \infty lim (\frac{2}{x} + π)

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

不定型除外

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

x \to \infty lim (\frac{2}{x}) = 0

x \to \infty lim (π) = π

= 0 + π

化简

= π

x \to 0 lim (e^{3 x} + 3 x)

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

x \to 0 lim (cot (x) sin (x))

x \to - 12 lim (x + 12)

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