What is taylor e^{(x+1)} ?

The answer to taylor e^{(x+1)} is e+ex+e/2 x^2+e/6 x^3+e/(24)x^4+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

taylor e^{(x+1)}

taylor

e^{(x + 1)}

e + e x + \frac{e}{2} x^{2} + \frac{e}{6} x^{3} + \frac{e}{24} x^{4} + \dots

Solution steps

Apply the Taylor Formula

= e + \frac{\frac{d}{d x} ( e ^{x + 1} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{x + 1} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{x + 1} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= e + \frac{e}{1 !} x + \frac{e}{2 !} x^{2} + \frac{e}{3 !} x^{3} + \frac{e}{4 !} x^{4} + \dots

Refine

= e + e x + \frac{e}{2} x^{2} + \frac{e}{6} x^{3} + \frac{e}{24} x^{4} + \dots

x + \frac{36}{x}

y = x^{4} e^{x}

x \to 5 lim (6)

x^{^{''}} + 2 x^{^{'}} + 4 x = 0

\frac{d}{d z} (\frac{z + i}{z - i})

What is taylor e^{(x+1)} ?
The answer to taylor e^{(x+1)} is e+ex+e/2 x^2+e/6 x^3+e/(24)x^4+\ldots