What is the limit as x approaches infinity of-2e^{-x}+2 ?

The limit as x approaches infinity of-2e^{-x}+2 is 2

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limit as x approaches infinity of-2e^{-x}+2

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

2

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

x \to \infty lim (2 e^{- x}) = 0

x \to \infty lim (2) = 2

= - 0 + 2

Simplify

= 2

\int 3 x y d y

\frac{d y}{d x}, y = (sin (x))^{6 x}

\frac{\partial}{\partial x} (x^{2} + y^{2} - 9)

\int sec^{2} (2 x t a) n^{6} 2 x d x

\frac{d}{d x} (\frac{3}{x} + e^{2 x} \cdot 2)

What is the limit as x approaches infinity of-2e^{-x}+2 ?
The limit as x approaches infinity of-2e^{-x}+2 is 2