What is the limit as x approaches infinity of 10+15e^{-2x} ?

The limit as x approaches infinity of 10+15e^{-2x} is 10

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limit as x approaches infinity of 10+15e^{-2x}

x \to \infty lim (10 + 15 e^{- 2 x})

10

Solution steps

x \to \infty lim (10 + 15 e^{- 2 x})

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) + x \to \infty lim (15 e^{- 2 x})

x \to \infty lim (10) = 10

x \to \infty lim (15 e^{- 2 x}) = 0

= 10 + 0

Simplify

= 10

(2 x + y e^{\frac{y}{x}}) d x - x e^{\frac{y}{x}} d y = 0, y (1) = 4

x \to \infty lim (\frac{1}{5 ^{\frac{1}{x}}})

\frac{1}{2} sin^{2} (x)

y = x^{2} - 5 x + 5

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

What is the limit as x approaches infinity of 10+15e^{-2x} ?
The limit as x approaches infinity of 10+15e^{-2x} is 10