en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

taylor x-pi/2 ,1

Solution

taylor

x - \frac{π}{2}, 1

Solution

1 - \frac{π}{2} + (x - 1)

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 1 - \frac{π}{2} + \frac{1}{1 !} (x - 1) + \frac{0}{2 !} (x - 1)^{2} + \frac{0}{3 !} (x - 1)^{3} + \frac{0}{4 !} (x - 1)^{4} + \frac{0}{5 !} (x - 1)^{5} + \frac{0}{6 !} (x - 1)^{6} + \frac{0}{7 !} (x - 1)^{7} + \frac{0}{8 !} (x - 1)^{8} + \frac{0}{9 !} (x - 1)^{9} + \frac{0}{10 !} (x - 1)^{10}

Refine

= 1 - \frac{π}{2} + (x - 1)

Popular Examples

limit as t approaches 0 of tan(5t)

t \to 0 lim (tan (5 t))

derivative of (2x-3/(3x+4))

\frac{d}{d x} (\frac{2 x - 3}{3 x + 4})

integral of 2/(x^6)

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

derivative of x^2+64 derivative of

x^{2} + 64

(\partial)/(\partial x)(9e^{xy+8})

\frac{\partial}{\partial x} (9 e^{x y + 8})

Frequently Asked Questions (FAQ)

What is taylor x-pi/2 ,1 ?
The answer to taylor x-pi/2 ,1 is 1-pi/2+(x-1)