What is the limit as x approaches-infinity of (19)/(20+(1/x)) ?

The limit as x approaches-infinity of (19)/(20+(1/x)) is 19/20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches-infinity of (19)/(20+(1/x))

x \to - \infty lim (\frac{19}{20 + ( \frac{1}{x} )})

\frac{19}{20}

Decimal

0.95

Solution steps

x \to - \infty lim (\frac{19}{20 + \frac{1}{x}})

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

= 19 \cdot x \to - \infty lim (\frac{1}{20 + \frac{1}{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

= 19 \cdot \frac{lim _{x \to - \infty} ( 1 )}{lim _{x \to - \infty} ( 20 + \frac{1}{x} )}

x \to - \infty lim (1) = 1

x \to - \infty lim (20 + \frac{1}{x}) = 20

= 19 \cdot \frac{1}{20}

Simplify

19 \cdot \frac{1}{20} : \frac{19}{20}

= \frac{19}{20}

\int_{2}^{4} x e^{\frac{x}{2}} d x

f (x) = \frac{1}{2 x - 1}

\int \frac{28}{28 + e ^{x}} d x

2 x \frac{d y}{d x} + y = 6 x

x \to 3 + lim (6 + x)

What is the limit as x approaches-infinity of (19)/(20+(1/x)) ?
The limit as x approaches-infinity of (19)/(20+(1/x)) is 19/20