Flag Differential Calculus> Please solve the problem in the attachmen...
question mark

Please solve the problem in the attachment ......... ANS is 1..........

Pawan joshi , 6 Years ago
Grade 12th pass
anser 1 Answers
Aditya Gupta

Last Activity: 6 Years ago

Write pi√(n^2+n) as npi√(1+1/n)
Now using binomial theorem for fractional indices, expand (1+1/n)^1/2 as 1+1/2n+O(1/n^2)
Multiply by npi and take cosine
cos(npi+pi/2+O(1/n)) = - sin(npi+O(1/n))
As n tends to infinity, O(1/n) becomes zero.
Also, sinnpi is always zero as long as n is an integer. So the limit is zero. so your answer 1 is clearly wrong so kindly recheck and revert back if you have any doubts.

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