What is value of 1 - x - x2 - x3 - x4 - - where x 1

1+x+x^2+x^3+x^4+… a=x r=x 1+[ x( x ^ n 1) (x 1) ] If x gt;1. ...

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Byju's Answer

Standard XII

Mathematics

Summation by Sigma Method

What is value...

Question

What is value of
$1 + x + x^{2} + x^{3} + x^{4} + . . . . .$
where $x \neq 1$

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Solution

$1 + x + x^{2} + x^{3} + x^{4} + \dots$
$a = x$
$r = x$
$1 + [\frac{x (x^{n} - 1)}{(x - 1)}]$ If $x > 1.$

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What is value of 1+x+x2+x3+x4+..... where x≠1

1+x+x2+x3+x4+…a=xr=x1+[x(xn−1)(x−1)] If x>1.

What is value of
$1 + x + x^{2} + x^{3} + x^{4} + . . . . .$
where $x \neq 1$

$1 + x + x^{2} + x^{3} + x^{4} + \dots$
$a = x$
$r = x$
$1 + [\frac{x (x^{n} - 1)}{(x - 1)}]$ If $x > 1.$