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For what values of x(x≠0) will the following infinite geometric series have a finate sum?
x+3x²+9x³+...

3x²/x
what are the next steps?


Thanks in advance.

  • Math -

    The ratio of succesasive terms is 3x. This must be less than 1 for the infinite series to have a finite sum. Therefore x < 1/3 is required.

  • Math -

    Thanks!

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