What is taylor e^x,2 ?

The answer to taylor e^x,2 is e^2+e^2(x-2)+(e^2)/2 (x-2)^2+(e^2)/6 (x-2)^3+(e^2)/(24)(x-2)^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,2

taylor

e^{x}, 2

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

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

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

Refine

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

\int \frac{a x + b}{c x + d} d x

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

\int 10 x - 3 x^{2} - x^{3} d x

x (\frac{d y}{d x}) + 2 y = 0

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

What is taylor e^x,2 ?
The answer to taylor e^x,2 is e^2+e^2(x-2)+(e^2)/2 (x-2)^2+(e^2)/6 (x-2)^3+(e^2)/(24)(x-2)^4+\ldots