What is the limit as x approaches 0 of (1+3/(x^4))^x ?

The limit as x approaches 0 of (1+3/(x^4))^x is 1

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 (1+3/(x^4))^x

x \to 0 lim ((1 + \frac{3}{x ^{4}})^{x})

1

Solution steps

x \to 0 lim ((1 + \frac{3}{x ^{4}})^{x})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim ((1 + \frac{3}{x ^{4}})^{x}) = 1

x \to 0 + lim ((1 + \frac{3}{x ^{4}})^{x}) = 1

= 1

\frac{d}{d x} (x^{4} - 6 x - 9)

x y^{^{'}} - 3 y^{^{'}} - (x - 3) cos (x) + y = 0

\int \frac{e ^{t}}{t} d t

\int \frac{x ^{3}}{4 3 + x ^{4}} d x

\frac{d}{d x} (∣ x^{2} - 6 x + 5 ∣)

What is the limit as x approaches 0 of (1+3/(x^4))^x ?
The limit as x approaches 0 of (1+3/(x^4))^x is 1