Click to Chat

0120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off
USE CODE: SSPD25

```				   let 'f' be a continuous function on 'R' such that
f(1/2n)=(sin(en))e-n^2+2[n]2 /n2+[n]+1 where [.] denotes greatest integer function. Then find the value of f(0).
```

6 years ago

Share

```										Dear Paidepelly
f(1/2n)=(sin(en))e-n^2+2[n]2 /(n2+[n]+1)
for f(0) take limit n tends to infinity both side
Lt n→∞ f(1/2n)=Lt n→∞(sin(en))e-n^2+2[n]2 /(n2+[n]+1)
f(0)=Lt n→∞(sin(en))e-n^2+2[n]2 /(n2+[n]+1)
=Lt n→∞(sin(en))e-n^2+ Lt n→∞   2[n]2 /(n2+[n]+1)
=0  +Lt n→∞   2[n]2 /(n2+[n]+1)
let n=[n] +f wher f is fractional part of n
so f(0) =Lt n→∞   2(n-f)2 /(n2+n-f+1)
find limit
f(0) =2

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.  All the best.  Regards, Askiitians Experts Badiuddin
```
6 years ago

# Other Related Questions on Differential Calculus

what double derivative mean graphically for a function ?

The second (or double) derivative of a functionfmeasures theconcavityof the graph off. A function whose second derivative is positive will beconcave up, meaning that thetangentline will lie...

 Vijay Mukati one year ago

The second (or double) derivative of a functionfmeasures theconcavityof the graph off. A function whose second derivative is positive will beconcave up, meaning that thetangentline will lie ...

 Raghu Vamshi Hemadri one year ago
lim(x->a) [(xsina-asinx) /(x-a) ]=sina-acosa........ PROOF

lim [ (xsin(a) - asin(x)) / (x - a) ] x -> a We have to use L`Hospital`s rule to solve this. This means we take the derivative of each of the top and bottom and calculate a new limit. Keep...

 rahul kushwaha 27 days ago
f(x)=[tan 2 x]

 Vijay Mukati one year ago

For x belongs to(0,180),the equation sinx+2sin2x−sin3x=3 has how many solutions?

Hii Use the combination of sinx−sin3x to write it into format of sin2x . You will get the values of it in terms of product from where you can find out the answer

 Sourabh Singh 3 months ago

 jagdish singh singh 2 months ago
The sol. set of inequility (3 x -4 x ).ln(x+2) /x 2 -3x-4 is?

Inequality is missing in this question. Only expression is provided. PLease provide the complete question.

 Harsh Patodia one month ago
The numbers have been arranged under some rule. Based on that rule which number will come on the place of Question Mark ? 1,1,2,6,24,?,720

1=1 1=1*1( multiply preceding number with 1) 2=1*2( multiply preceding number with 2) 6=2*3( multiply preceding number with 3) 24=6*4( multiply preceding number with 4) ?=24*5=(120)(...

 Karthik Kumar one year ago

MY DEAR FRIEND YOU ASKED LOGICAL THINKING QUASTION DO THESE TYPE OF QUASTION SOME TIME IS REQUIRED AT LAST IT’S ANSWER IS 120.THANK YOU.

 NARAYANA 10 months ago

answer is 120 because 24*5 = 120 the logic is 1*1 1*2 2*3 in these way the series goes on 6*4 = 24 then 24*5 = 120 so answer is 120

 KALYAN 10 months ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,750 off
USE CODE: SSPD25

Get extra R 400 off
USE CODE: SSPD25

More Questions On Differential Calculus