Flag Differential Calculus> limits continuity...
question mark

lim n→∞ (2n+1 + 3n+1)/(2n + 3n) is equal to (a) 2 (b)3 (c) 5 (D) none. explain pls.

Aditi Bhatnagar , 13 Years ago
Grade 12th Pass
anser 3 Answers
RAJORSHI PAUL

Last Activity: 13 Years ago

2^(n+1)+3^(n+1) =3^(n+1){(2/3)^(n+1) +1}

2^n+3^n =3^n{(2/3)^n +1}

As n tends to infinity (2/3)^n tends to 0

So the required limit is 3

 

Chetan Mandayam Nayakar

Last Activity: 13 Years ago

(2n+1 +3n+1)/(2n +3n)=2n+1/(2n + 3n)+3n+1/(2n + 3n)=2/(1+(3/2)n)+3/(3+(2/3)n)=0+1=1

 

jitender lakhanpal

Last Activity: 13 Years ago

Dear Aditi,

 

correct answer is 3 as (2/3)n   where n is ∞ is 0

so if we take 3n+1  from numerator and 3n  is denominator so we get (2/3)n  form

 

We are all IITians and here to help you in your IIT JEE preparation.

Now you can win by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar.. 

jitender 

Provide a better Answer & Earn Cool Goodies

Enter text here...
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

Enter text here...