Russian limit problem

Calculus Level 3

In the above image, use n → ∞ n \rightarrow \infty instead of n → 0 n \rightarrow 0 .

Follow the directions indicated in the photo.


The answer is 4.

Hobart Pao by Hobart Pao , 23, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Muteeb Basha
Nov 19, 2014

sum to nterms of the above series is n(n+1)(2n+1)/6n^3 then applying alhospital rule (i.e diff numerator and denominator )we get 1/3 1+3=4

2 Helpful 0 Interesting 0 Brilliant 0 Confused

1/3 = 2/6, so, a and b have to be relative coprime

Guillermo Templado - 5 years, 8 months ago

But how you can sum the n terms if n tends to 0.

Bruno Tenorio - 6 years, 3 months ago

Log in to reply

He has written below the picture that n tends to infinity ,not 0.

Dheeman Kuaner - 6 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...