limit as x approaches 0 of 1+(tan(x))/x

解答

x \to 0 lim (1 + \frac{tan ( x )}{x})

2

求解步骤

x \to 0 lim (1 + \frac{tan ( x )}{x})

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 0 lim (1) + x \to 0 lim (\frac{tan ( x )}{x})

x \to 0 lim (1) = 1

x \to 0 lim (\frac{tan ( x )}{x}) = 1

= 1 + 1

化简

= 2

x \to - 1 lim ([x] + [- x])

x \to 0 lim (\frac{x ^{2} - 5 x}{x ^{2} + 8 x})

x \to - \infty lim (\frac{x}{0})

x \to 0 lim (arccot (x))

x \to 0 + lim ((g (x))^{\frac{l n ( 2 )}{x}})