X x e x 1 1 lim h f h f f x x f x x f h 1 1 lim 1 1 1

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A Limit to evaluate e. x x e x 1 ) 1 ( lim 0 + = h f h f f x x f x x f h ) 1 ( ) 1 ( lim 1 1 ) 1 ( 1 ) ( Then ). ln( ) ( Let 0 - + = = = = ) 1 ln( 1 lim ) 1 ln( lim ) 1 ln( ) 1 ln( lim 1 0 0 0 h h h h h h h h h + = + = - + = h h h h e e h h h h h 1 1 1 ) 1 ( lim lim ) 1 ln( lim 1 0 ) 1 ln( 0 1 0 + = = + = +
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