If the sum of the series 1 + frac{2}{x} + fra | vedclass

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Question

(a) Common ratio $(r) = \frac{2}{x}$

For sum to be finite $r < 1$

$ \Rightarrow $ $\frac{2}{x} < 1$

$ \Rightarrow $ $2 < x$

$ \Ri

Vedclass · Accepted Answer

$x > 2$

Vedclass · Answer

(a) Common ratio $(r) = \frac{2}{x}$

For sum to be finite $r < 1$

$ \Rightarrow $ $\frac{2}{x} < 1$

$ \Rightarrow $ $2 < x$

$ \Rightarrow $ $x > 2$.

If the sum of the series $1 + \frac{2}{x} + \frac{4}{{{x^2}}} + \frac{8}{{{x^3}}} + ....\infty $ is a finite number, then

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