Recent content by aznluster

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    Graduate Solve Hard Sequence Problem: Find √1+√1+2√1+3√1+...

    Wouldn't that add up to 2? Or maybe I'm doing something wrong. Is there a proof of that identity somewhere?
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    Undergrad Calculating xyz from Given Equations

    Thank you. :)
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    Graduate Solve Hard Sequence Problem: Find √1+√1+2√1+3√1+...

    Find \sqrt{1+\sqrt{1+2\sqrt{1+3\sqrt{1+...}}}}
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    Undergrad Calculating xyz from Given Equations

    Given: x+y+z=1 x^{2}+y^{2}+z^{2}=2x^{4}+y^{4}+z^{4}=4 Find:x^{3}+y^{3}+z^{3} Attempt at Solving:Note: x^{3}+y^{3}+z^{3}-3xyz=(x+y+z)(x^{2}+y^{2}+z^{2}-xy-xz-yz)(x+y+z)^{2}=x^{2}+y^{2}+z^{2}+2xy+2xz+2zy=1xy+xz+zy=-1/2 Plugging in the unknown, we get:x^{3}+y^{3}+z^{3}-3xyz=(1)(2-(-1/2)) Now I...
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    High School Understanding the Difference Between cos(pi +x) and -cos(x)

    The two functions cos(pi +x) and -cos(x) are the same yet their graphs are different. Why is that?