when we put the x in the denominator inside the root we get absolute value so wee need to split into cases let us deal with only one case so i have a member in side the root which is 0/0 can i solve this thing without lhopital?
Last edited by transgalactic; Sep 17th 2011 at 09:58 PM.
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Originally Posted by transgalactic when we put the x in the denominator inside the root we get absolute value so wee need to split into cases let us deal with only one case so i have a member in side the root which is 0/0 can i solve this thing without lhopital? so: CB
Originally Posted by CaptainBlack so: CB why ??
Originally Posted by transgalactic why ?? For small we have , so put and as is small so is and vice-versa and so for small : CB
its like sinx/x its a definition ?
Originally Posted by transgalactic its like sinx/x its a definition ? It is not a definition, it is a consequence of the definition of the tan/arctan function/s. CB
so i cant use it if its not a definition and i cant use your explanation because its based on approximation. and i cant do lopital only on one fracture so how to solve it ?
Why can't you use it if it is not a definition? tan(x)= sin(x)/cos(x) so tan(x)/x= (sin(x)/x) cos(x). Now, both of those limits, as x goes to 0, should be easy.
but its arctanx not tan ?
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