1800-150-456-789
FlagBACK
Flag Differential Calculus> Lim x-->a- ( |x| 3 /a – [x/a] 3 ) a pleas...
question mark

Limx-->a- (|x|3/a – [x/a]3 ) a
please solve the above question. I've tried sandwich theorem but couldn't get the answer. Please provide the solution

Manish Jha , 6 Years ago
Grade
anser 1 Answers
Aditya Gupta

Last Activity: 6 Years ago

the limit splits as
lim|x|3 – lim a*[x/a]3 
|a|^3 – a*0^3 (as x tends to a from LHS, so x/a tends to 1 from LHS, causing the gif to equal zero)
=|a|^3  [note that this is the answer if [.] represents the GIF]
if [.] does not represent the GIF, then the answer is straightaway
|a|^3 –a*1^3
=|a|^3 –a
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
1 Answer Available

Last Activity: 3 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
1 Answer Available

Last Activity: 3 Years ago

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

Last Activity: 3 Years ago