What is the limit as x approaches infinity of 10*e^{(-x)/2}+4 ?

The limit as x approaches infinity of 10*e^{(-x)/2}+4 is 4

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limit as x approaches infinity of 10*e^{(-x)/2}+4

x \to \infty lim (10 \cdot e^{\frac{- x}{2}} + 4)

4

Solution steps

x \to \infty lim (10 e^{\frac{- x}{2}} + 4)

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 (10 e^{\frac{- x}{2}}) + x \to \infty lim (4)

x \to \infty lim (10 e^{\frac{- x}{2}}) = 0

x \to \infty lim (4) = 4

= 0 + 4

Simplify

= 4

\frac{d y}{d x} = \frac{4 x}{9 y}

\frac{d}{d x} (e^{- 1 x})

(- 1, - 2), (3, 2)

ln (x + p)

\frac{d}{d y} (- 4 y)

What is the limit as x approaches infinity of 10*e^{(-x)/2}+4 ?
The limit as x approaches infinity of 10*e^{(-x)/2}+4 is 4