limit as x approaches infinity of 2^x-1

解答

x \to \infty lim (2^{x} - 1)

\infty

求解步骤

x \to \infty lim (2^{x} - 1)

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 \infty lim (2^{x}) - x \to \infty lim (1)

x \to \infty lim (2^{x}) = \infty

x \to \infty lim (1) = 1

= \infty - 1

运用无穷大属性:

\infty - c = \infty

= \infty

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