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Popular Calculus >

taylor 7/(1-x)

Solution

taylor

\frac{7}{1 - x}

Solution

7 + 7 x + 7 x^{2} + 7 x^{3} + 7 x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 7 + \frac{\frac{d}{d x} ( \frac{7}{1 - x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( \frac{7}{1 - x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( \frac{7}{1 - x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 7 + \frac{7}{1 !} x + \frac{14}{2 !} x^{2} + \frac{42}{3 !} x^{3} + \frac{168}{4 !} x^{4} + \dots

Refine

= 7 + 7 x + 7 x^{2} + 7 x^{3} + 7 x^{4} + \dots

Popular Examples

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Frequently Asked Questions (FAQ)

What is taylor 7/(1-x) ?
The answer to taylor 7/(1-x) is 7+7x+7x^2+7x^3+7x^4+\ldots