What is the limit as x approaches infinity of (2170)/(1+e^{-0.156x)} ?

The limit as x approaches infinity of (2170)/(1+e^{-0.156x)} is 2170

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limit as x approaches infinity of (2170)/(1+e^{-0.156x)}

x \to \infty lim (\frac{2170}{1 + e ^{- 0.156 x}})

2170

Solution steps

x \to \infty lim (\frac{2170}{1 + e ^{- 0.156 x}})

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

= 2170 \cdot x \to \infty lim (\frac{1}{1 + e ^{- 0.156 x}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= 2170 \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( 1 + e ^{- 0.156 x} )}

x \to \infty lim (1) = 1

x \to \infty lim (1 + e^{- 0.156 x}) = 1

= 2170 \cdot \frac{1}{1}

Simplify

= 2170

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What is the limit as x approaches infinity of (2170)/(1+e^{-0.156x)} ?
The limit as x approaches infinity of (2170)/(1+e^{-0.156x)} is 2170