What is the limit as x approaches infinity of 2(-23e^{-sqrt(x)}+23e^{-1}) ?

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limit as x approaches infinity of 2(-23e^{-sqrt(x)}+23e^{-1})

x \to \infty lim (2 (- 23 e^{- x} + 23 e^{- 1}))

\frac{46}{e}

Decimal

16.92245 \dots

Solution steps

x \to \infty lim (2 (- 23 e^{- x} + 23 e^{- 1}))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 2 \cdot x \to \infty lim (- 23 e^{- x} + 23 e^{- 1})

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

= 2 (- x \to \infty lim (23 e^{- x}) + x \to \infty lim (23 e^{- 1}))

x \to \infty lim (23 e^{- x}) = 0

x \to \infty lim (23 e^{- 1}) = \frac{23}{e}

= 2 (- 0 + \frac{23}{e})

Simplify

2 (- 0 + \frac{23}{e}) : \frac{46}{e}

= \frac{46}{e}

\frac{\partial}{\partial x} (e^{y l n (z)})

\int (x^{2} + x^{- 2}) d x

\frac{9}{t ^{3}}

\frac{d}{d x} (x^{2} + 6 x)

f (x) = \frac{x ^{\frac{1}{2}}}{x + 9}, at x = 1

What is the limit as x approaches infinity of 2(-23e^{-sqrt(x)}+23e^{-1}) ?
The limit as x approaches infinity of 2(-23e^{-sqrt(x)}+23e^{-1}) is (46)/e