lim ( 1 + 3/x) ^(.2x) x->infinity i have no idea how to solve this limit, if someone could point me in the right direction, that would be great. thanks!
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Put and the limit becomes hence as
thanks! okay this makes sense to me, but why did you have to substitute 1/x for x?
Hello, Originally Posted by sarabolha lim ( 1 + 3/x) ^(.2x) x->infinity i have no idea how to solve this limit, if someone could point me in the right direction, that would be great. thanks! You can note that : (it is provable by a simple substitution and using Now, So
Originally Posted by sarabolha lim ( 1 + 3/x) ^(.2x) x->infinity i have no idea how to solve this limit, if someone could point me in the right direction, that would be great. thanks! Exactly as the others did except with a little more working If we let this limit becomes Now assuming the limit exists and equals L we have that Now remember what we know about derivatives So in our integral we have that and So we have that Just like the others said
Originally Posted by sarabolha thanks! okay this makes sense to me, but why did you have to substitute 1/x for x? It's like putting there's no difference between and both achieve to the same value.
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