limit as t approaches 0 of (e^{5t}-1)/t

解答

t \to 0 lim (\frac{e ^{5 t} - 1}{t})

5

求解步骤

t \to 0 lim (\frac{e ^{5 t} - 1}{t})

使用洛必达法则

= t \to 0 lim (\frac{5 e ^{5 t}}{1})

代入值

t = 0

= \frac{5 e ^{5 \cdot 0}}{1}

化简

= 5

\int f^{- 1} (x) d x

d er i v a t i v e 4 cos (\frac{2 π}{3})

d er i v a t i v e cos (a^{3} + x^{3})

\frac{d}{d x} (f (x) (5 x^{2} - 4))

\int \frac{8 e ^{- \frac{1}{x}}}{x ^{2}} d x