What is the limit as x approaches 0 of ((2.8^x-1))/x ?

The limit as x approaches 0 of ((2.8^x-1))/x is 1.02961…

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 ((2.8^x-1))/x

x \to 0 lim (\frac{( 2. 8 ^{x} - 1 )}{x})

1.02961 \dots

Solution steps

x \to 0 lim (\frac{2. 8 ^{x} - 1}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{1.02961 \dots \cdot 2. 8 ^{x}}{1})

= x \to 0 lim (\frac{1.02961 \dots \cdot 2. 8 ^{x}}{1})

Plug in the value

x = 0

= \frac{1.02961 \dots \cdot 2. 8 ^{0}}{1}

Simplify

= 1.02961 \dots

\int_{0}^{\frac{1}{2}} 1 - 4 x^{2} d x

\int \frac{6}{x x ^{2} + 1} d x

\int (x + 1) e^{9 x^{2} + 18 x} d x

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 13 y = 8 sin (3 x), y (0) = 1, y^{^{'}} (0) = 2

x \to 1 lim ((9 x^{2}) + 30 x + 25)

What is the limit as x approaches 0 of ((2.8^x-1))/x ?
The limit as x approaches 0 of ((2.8^x-1))/x is 1.02961…