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Free study guides and discussions about various topics in Mathematics. Thanks for stopping by!

A challenging trig limit with a cool algebra trick

Evaluate:

$ L = \lim_{x\to\ 0} \dfrac{sin^{2}(\frac{x}{2})}{x^{2}} $

This one is a bit messy, at times. Read more HERE about how to straighten it out, L’Hôptal’s Rule, or not!

An infinite series problem, two ways

A really cool discussion of indeterminate forms