What is the limit as x approaches 0 of (1+5x)^{6/x} ?

The limit as x approaches 0 of (1+5x)^{6/x} is e^{30}

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+5x)^{6/x}

x \to 0 lim ((1 + 5 x)^{\frac{6}{x}})

e^{30}

Decimal Notation

1.06865 E 13

Solution steps

x \to 0 lim ((1 + 5 x)^{\frac{6}{x}})

Apply exponent rules

= x \to 0 lim (e^{\frac{6}{x} l n (1 + 5 x)})

Apply the Limit Chain Rule:

e^{30}

= e^{30}

\int 5 cos (x^{2}) d x

(4, - 1), (- 1, - 4)

\frac{1}{s ^{2} + s ^{1} + s ^{1} + 1}

\int \frac{1}{u 5 - u ^{2}} d u

\int_{0}^{1} x^{4} (2 + 2 x^{5}) d x

What is the limit as x approaches 0 of (1+5x)^{6/x} ?
The limit as x approaches 0 of (1+5x)^{6/x} is e^{30}