What is the limit as x approaches 0+of x^{19x} ?

The limit as x approaches 0+of x^{19x} 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^{19x}

x \to 0 + lim (x^{19 x})

1

Solution steps

x \to 0 + lim (x^{19 x})

Apply exponent rules

= x \to 0 + lim (e^{19 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

arcsin (6 x) + arccos (6 x)

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

\frac{23}{( 8 x - 1 ) ^{2}}

x^{7}

What is the limit as x approaches 0+of x^{19x} ?
The limit as x approaches 0+of x^{19x} is 1