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Infinite Continued Fractions

In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.

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Hyperbolic Thinking

Explore the properties of these two fascinating functions using trigonometry as a guide.

Gosh Cosh

Age 16 to 18 Challenge Level:
To sketch the graphs, consider whether the functions are odd or even and consider values of the functions for $x=0$ and for very large $x$. Confirm your sketch by differentiating the functions and finding the turning points.

To prove the hyperbolic trig identities requires only some simple algebra.