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

解答

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

1

求解步骤

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

使用洛必达法则

= x \to 0 + lim (\frac{sec ^{2} ( x )}{1})

代入值

x = 0

= \frac{sec ^{2} ( 0 )}{1}

化简

\frac{sec ^{2} ( 0 )}{1} : 1

= 1

x \to 3 lim (2 x^{3} - 10 x - 12)

x \to 2 lim (4 + 5 (- 2))

\int 2 sec^{3} (x) d x

\frac{\partial}{\partial x} (\frac{10 x}{36 + x ^{2} + y ^{2}})

n = 1 \sum \infty \frac{1 0 ^{n}}{n ^{n}}