1800-150-456-789
FlagBACK
Flag Differential Calculus> lim x tends to infinity {x-(x 2 +x) 1/2 }...
question mark

limx tends to infinity {x-(x2+x)1/2}

Bhupinder Kaur Brar , 10 Years ago
Grade Select Grade
anser 6 Answers
grenade

Last Activity: 10 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

Last Activity: 10 Years ago

then what is the answer

grenade

Last Activity: 10 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

Last Activity: 10 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

Last Activity: 10 Years ago

after rationalising you can too apply l’hospital rule

Prince Sharma

Last Activity: 9 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
 
    

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 2 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
0 Answer Available

Last Activity: 2 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
0 Answer Available

Last Activity: 3 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
0 Answer Available

Last Activity: 3 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
0 Answer Available

Last Activity: 3 Years ago