limx tends to infinity {x-(x2+x)1/2}
limx tends to infinity {x-(x2+x)1/2}
Bhupinder Kaur Brar , 10 Years ago
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Differential Calculus> lim x tends to infinity {x-(x 2 +x) 1/2 }...
6 Answers
grenade
first we will take
x common from the braces
then substitute x = indinity
the would have been their 0
approve if useful
grenade
then what is the answer
grenade
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
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
after rationalising you can too apply l’hospital rule
Prince Sharma
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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