limit as t approaches 0 of (sin(3t))/t+2

解答

t \to 0 lim (\frac{sin ( 3 t )}{t} + 2)

5

求解步骤

t \to 0 lim (\frac{sin ( 3 t )}{t} + 2)

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

= t \to 0 lim (\frac{sin ( 3 t )}{t}) + t \to 0 lim (2)

t \to 0 lim (\frac{sin ( 3 t )}{t}) = 3

t \to 0 lim (2) = 2

= 3 + 2

化简

= 5

\int 4 x e^{5 x} d x

s l o p e (0, - 5), (- 2, 1)

d er i v a t i v e f (x) = \frac{2 x}{x + 3}

d er i v a t i v e (x^{2} + e^{x}) (x)

n = 1 \sum \infty (- 0.3)^{n - 1}