limit as x approaches-infinity of x^4+x

解答

x \to - \infty lim (x^{4} + x)

\infty

求解步骤

x \to - \infty lim (x^{4} + x)

运用无穷大属性:

x \to \pm \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is even

a = 1, n = 4

= \infty

sin (2 x) d x + cos (8 y) d y = 0

t an g e n t \frac{4}{3} x^{3} - 7 x + 5

\int_{0}^{2} arctan (\frac{x}{2}) d x

\int \frac{10}{1 + x ^{2}} d x

x \to 0 lim (\frac{arcsin ( 2 x ) - 2 arcsin ( x )}{x ^{3}})