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Popular >

taylor 8/(1-x)

Solution

taylor

\frac{8}{1 - x}

Solution

8 + 8 x + 8 x^{2} + 8 x^{3} + 8 x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 8 + \frac{\frac{d}{d x} ( \frac{8}{1 - x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( \frac{8}{1 - x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( \frac{8}{1 - x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 8 + \frac{8}{1 !} x + \frac{16}{2 !} x^{2} + \frac{48}{3 !} x^{3} + \frac{192}{4 !} x^{4} + \dots

Refine

= 8 + 8 x + 8 x^{2} + 8 x^{3} + 8 x^{4} + \dots

Popular Examples

integral of (x^5-x^3+2x)/(x^4)

\int \frac{x ^{5} - x ^{3} + 2 x}{x ^{4}} d x

integral of e^{16x}

\int e^{16 x} d x

limit as x approaches 5 of x-4

x \to 5 lim (x - 4)

integral of sin(ln(7x))

\int sin (ln (7 x)) d x

derivative of 4x^8

\frac{d}{d x} (4 x^{8})

Frequently Asked Questions (FAQ)

What is taylor 8/(1-x) ?
The answer to taylor 8/(1-x) is 8+8x+8x^2+8x^3+8x^4+\ldots