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? asked in Science & MathematicsMathematics · 8 years ago

How to solve an infinite sum?

1+1/3+1/5+1/7+1/9+1/11+... to infinity. How would you solve that infinite sum?

The sum of 1/(2n-1) from 1 to infinity. <---- pretty sure that's the equation for this.

1 Answer

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  • kb
    Lv 7
    8 years ago
    Favorite Answer

    This diverges by the Integral Test, because

    ∫(x = 1 to ∞) (1/(2x - 1)) dx = (1/2) ln(2x - 1) {for x = 1 to ∞} = ∞ (divergent).

    I hope this helps!

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