What is the limit as x approaches 0+of x^{7x} ?

The limit as x approaches 0+of x^{7x} 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 x^{7x}

x \to 0 + lim (x^{7 x})

1

Solution steps

x \to 0 + lim (x^{7 x})

Apply exponent rules

= x \to 0 + lim (e^{7 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

\frac{d}{d x} (\frac{2 x - 3}{4 x + 1})

\int \frac{( x ^{2} )}{2 ^{x}} d x

\frac{d}{d x} (2 (- 2 x^{2} sin (x^{2}) + cos (x^{2})))

\frac{4}{x - 3}

\frac{d ^{2}}{d x ^{2}} (3^{x^{2} - x + 5})

What is the limit as x approaches 0+of x^{7x} ?
The limit as x approaches 0+of x^{7x} is 1