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#### Resources tagged with Limits similar to Fractions of 1000:

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##### Other tags that relate to Fractions of 1000
Calculating with fractions. Continued fractions. Generalising. smartphone. History of number systems. Ratio. Fractions.

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Broad Topics > Pre-Calculus and Calculus > Limits

### Lower Bound

##### Stage: 3 Challenge Level:

What would you get if you continued this sequence of fraction sums? 1/2 + 2/1 = 2/3 + 3/2 = 3/4 + 4/3 =

### There's a Limit

##### Stage: 4 and 5 Challenge Level:

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

### Squaring the Circle and Circling the Square

##### Stage: 4 Challenge Level:

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

### Triangle Incircle Iteration

##### Stage: 4 Challenge Level:

Keep constructing triangles in the incircle of the previous triangle. What happens?