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lim x tends to infinity {x-(x 2 +x) 1/2 }

limx tends to infinity {x-(x2+x)1/2}

Grade:Select Grade

6 Answers

grenade
2061 Points
6 years ago
first we will take
x common from the braces 
then substitute x = indinity
the would have been their 0
 
approve if useful
grenade
2061 Points
6 years ago
then what is the answer
grenade
2061 Points
6 years ago
so sorry 
we have to rationalise it first
then the term of x square will be cancelled
then divide the complete expression 
you will get the answer a 1
 
approve if useful
grenade
2061 Points
6 years ago
 
then divide the complete expression 
you will get the answer a 1
 
hey it will be
 
then divide the complete expression  by x and substiture x equals infinity
you will get the answer equal to 1
 
approve if useful
grenade
2061 Points
6 years ago
after rationalising you can too apply l’hospital rule
Prince Sharma
40 Points
6 years ago
ANSWER -1/2
SOLUTION:
limx tends to infinity {x-(x2+x)1/2}
   first solve the algebra by replacing x by 1/t
   {1/t-(1/t2 +1/t)½}
    {1/t-(1+t)1/2/t}
    {(1-(1+t)1/2)/t}
now rationalise
-t/t(1+(1+t)1/2)
now put the equation in limits
limx tends to infinity -1/(1+(1+1/x)1/2)=   -1/2
 
    

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