Flag Differential Calculus> Please solve the question in attachment. ...
question mark

Please solve the question in attachment. ... .. ... ..ANS is 1/√e......... .....

Pawan joshi , 6 Years ago
Grade 12th pass
anser 2 Answers
Aditya Gupta

Last Activity: 6 Years ago

call the limit L.
then logL= lim [{log(1+x)}/x – 1]/x
now use series of log(1+x)= x – x^2/2+O(x^3)
so logL= lim [1 – x/2+O(x^2) – 1]/x
= – ½
so L= e^(–½ )
L=  1/√e

Aditya Gupta

Last Activity: 6 Years ago

Note above that we could also use l hospital rule, but sometimes the question becomes 10 times easier when we simply use series expansion. I am giving this advice because there are some classic examples in TMH which are impossible to solve using l hospital rule and can only be solved using series expansion! So it is always advisable to remember all the important series expansions

Provide a better Answer & Earn Cool Goodies

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


Ask a Doubt

Get your questions answered by the expert for free