How do you find the sum of the infinite geometric series 100+90+81+72.9+65.61...?

Answer 1

The sum of the infinite geometric series is #1000#.

This is a geometric series with first term as #100# and ratio of a term to its preceding term as #90/100=0.9#. As this ratio is less than #1#, the sum of the infinite geometric series is
#100/(1-0.9)=100/0.1=100xx10=1000#
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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