What is the limit as x approaches 0 of (1+8x)^{7/x} ?

The limit as x approaches 0 of (1+8x)^{7/x} is e^{56}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (1+8x)^{7/x}

x \to 0 lim ((1 + 8 x)^{\frac{7}{x}})

e^{56}

Decimal

2.09166 E 24

Solution steps

x \to 0 lim ((1 + 8 x)^{\frac{7}{x}})

Apply exponent rules

= x \to 0 lim (e^{\frac{7}{x} l n (1 + 8 x)})

Apply the Limit Chain Rule:

e^{56}

= e^{56}

y^{^{'}} = 100 k y - k y^{2}

\int \frac{1}{x - 25} d x

\int \frac{5 x ^{2} + 7 x + 2}{( x ^{2} + 2 ) ( x + 4 )} d x

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

\frac{d y}{d x} = sin (6 x)

What is the limit as x approaches 0 of (1+8x)^{7/x} ?
The limit as x approaches 0 of (1+8x)^{7/x} is e^{56}