Roboguru

begin mathsize 14px style limit as x rightwards arrow infinity of 4 x minus 2 minus square root of 4 x squared minus 8 x plus 1 end root space equals end style  

Jawaban:

begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of ax squared plus bx plus straight c end root minus square root of px squared plus qx plus straight r end root open curly brackets table row cell straight a greater than straight p rightwards arrow plus infinity end cell row cell straight a equals straight p rightwards arrow fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell row cell straight a less than straight p rightwards arrow negative infinity end cell end table close  limit as straight x rightwards arrow infinity of open parentheses 4 straight x minus 2 close parentheses minus square root of 4 straight x squared minus 8 straight x plus 1 end root equals limit as straight x rightwards arrow infinity of square root of open parentheses 4 straight x minus 2 close parentheses squared end root minus square root of 4 straight x squared minus 8 straight x plus 1 end root equals limit as straight x rightwards arrow infinity of square root of 16 straight x squared minus 16 straight x plus 4 end root minus square root of 4 straight x squared minus 8 straight x plus 1 end root 16 greater than 4 rightwards double arrow straight a greater than straight p rightwards double arrow plus infinity end style  

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