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This sequence has a factor of 2 between each number. If you are interested, here is the proof that infinity divided by infinity does not equal to one. The Mandelbrot set is a good example of this. Of course this doesn't handle the case where the exponent goes out of range, where FP multiply would give you infinity, or correct underflow to a subnormal. The equation may look like this: infinity times infinity divided two equals a tendency towards zero and a tendency towards infinity. Therefore, zero times infinity is undefined. Infinity to the power of any positive number is equal to infinity, so $\infty ^{2}=\infty$ $\frac{6\infty }{3\cdot \infty ^{2}}$ Any expression multiplied by infinity tends to infinity Anything divided an infinite amount of times means that it has an infinite amount of divided parts. In a Geometric Sequence each term is found by multiplying the previous term by a constant. Two friends of mine just proved to me that infinity divided by infinity does NOT equal to one, therefore my proof does not work. This section is intended only to give you a feel for what is going on here. Infinity divided by infinity IS NOT ONE! In this section we have a discussion on the types of infinity and how these affect certain limits. Note that there is a lot of theory going on 'behind the scenes' so to speak that we are not going to cover in this section. 6 years ago. In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. (Or wrapping the biased-exponent from 0 (subnormal) to all-ones (NaN or infinity depending on significand.) For any expression of the form a^b, if a>1 and b tends to infinity, then a^b will also tend to infinity. Each term (except the first term) is found by multiplying the previous term by 2. However if a tends to 1 then a^b becomes an indeterminate quantity. 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