Calculus Anyone? — OZONE Asylum, home of the Mad Scientists

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Your Text: Insert Slimies » Insert UBB Code » Close Last Tag \| All Tags UBB Help	[code] lim { b^4 - t^4 } b-->t ------------ { b^5 - t^5 } let t = b+h lim { b^4 - (b+h)^4 } h-->0 ---------------- { b^5 - (b+h)^5 } lim { b^4 - (b^4 + 4b^3h + 6b^2h^2 + 4bh^3 + h^4) } = h-->0 ------------------------------------------------------------------- { b^5 - (b^5 + 5b^4h + 10b^3h^2 + 10b^2h^3 + 5bh^4 + h^5) } lim { -4b^3h - 6b^2h^2 - 4bh^3 - h^4 } = h-->0 ------------------------------------------------- { -5b^4h - 10b^3h^2 - 10b^2h^3 - 5bh^4 - h^5 } lim { -h(4b^3 + 6b^2h + 4bh^1 + h^3) } = h-->0 --------------------------------------------------- { -h(5b^4 + 10b^3h + 10b^2h^2 + 5bh^3 + h^4) } lim { 4b^3 + 6b^2h + 4bh^1 + h^3 } = h-->0 ---------------------------------------------- { 5b^4 + 10b^3h + 10b^2h^2 + 5bh^3 + h^4 } as h goes to 0 all the terms wtih h drop out leaving 4b^3 = ---- 5b^4 4 = -- 5b [/code] . -- not necessarily stoned... just beautiful. [url=http://www.hyperbole-software.com/] [img]http://www.hyperbole-software.com/ozone/hyperbole-88x33.gif[/img] [/url] [small](Edited by [url=http://www.ozoneasylum.com/user/388]hyperbole[/url] on 09-16-2008 05:59)[/small] Loading...
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