Math, asked by dycool, 1 year ago

If x=1+y+y^2+......+infinity, then y is equal to​

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Answered by bibha2057
11

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Answered by Anonymous
12

HEYA \:  \\  \\ x= 1 + y  + y {}^{2} + y {}^{3}   + ... +  \infty  \\  \\ the \: above \: series \: form \: a \: g.p \: becoz  \\ \: common \: ratio \: is  \: \: same   \:   and \: its  \\ \: sum \: is \: is \: given \: by \:  \: a \div (1 - r) \\ where \: a \: is \: ist \: term \: and \: r \: is \: common \: ratio \\  \\ here \: a \:  = 1 \: and \: r \:  =y \\  \\ x = 1 \div (1 - y) \\  \\ x(1 - y) = 1 \\  \\ x - xy = 1 \\  \\ (x - 1) = yx \\  \\ y = (x - 1) \div x

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