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Popular Calculus >

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

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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