What is taylor e^{-6x},0 ?

The answer to taylor e^{-6x},0 is 1-6x+18x^2-36x^3+54x^4+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

taylor e^{-6x},0

taylor

e^{- 6 x}, 0

1 - 6 x + 18 x^{2} - 36 x^{3} + 54 x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 1 + \frac{\frac{d}{d x} ( e ^{- 6 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{- 6 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{- 6 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1 + \frac{- 6}{1 !} x + \frac{36}{2 !} x^{2} + \frac{- 216}{3 !} x^{3} + \frac{1296}{4 !} x^{4} + \dots

Refine

= 1 - 6 x + 18 x^{2} - 36 x^{3} + 54 x^{4} + \dots

\int x ln (5 x) d x

x \to 2 - lim (6 - 3 x - 3)

\int_{0}^{1} 2 x (8 - x^{2}) d x

x \to - 3 lim (- 3 x)

\frac{\partial}{\partial x} (x^{3} - 2 x y^{2} - y^{3})

What is taylor e^{-6x},0 ?
The answer to taylor e^{-6x},0 is 1-6x+18x^2-36x^3+54x^4+\ldots