What is the limit as x approaches 0-of 2+3e^{-3/x} ?

The limit as x approaches 0-of 2+3e^{-3/x} is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0-of 2+3e^{-3/x}

x \to 0 - lim (2 + 3 e^{- \frac{3}{x}})

\infty

Solution steps

x \to 0 - lim (2 + 3 e^{- \frac{3}{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 0 - lim (2) + x \to 0 - lim (3 e^{- \frac{3}{x}})

x \to 0 - lim (2) = 2

x \to 0 - lim (3 e^{- \frac{3}{x}}) = \infty

= 2 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

o f - 5 sin (x)

x \to - 3 lim (\frac{2 - x}{3 - x})

\frac{\partial}{\partial x} (2 x (2 + y)^{- 1})

n = 1 \sum \infty 9 - \frac{6}{n ^{2}}

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

What is the limit as x approaches 0-of 2+3e^{-3/x} ?
The limit as x approaches 0-of 2+3e^{-3/x} is infinity