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

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


1.    Lt n→ ∞ sin 2  [π√((n!)2-n! )]


2.    Ltx→0 ({x})1/x + (1/x){x} ,  (x>0,{.} denotes fractional   part of x)

            please solve both the Questions.



6 years ago


Answers : (1)


Dear sindhu

first question

Lt n→ ∞ sin 2  [π√((n!)2-n! )]

or Lt n→ ∞ sin 2  [∏n!√( 1-1/n! )]

apply limit part inside the root will become 1

and n! is very large nimber but it is a even number.

so Lt n→ ∞ sin 2  [∏n!√( 1-1/n! )] = sin 2  [∏*even number]



For second question

Ltx→0 ({x})1/x + (1/x){x}


as limit tends to zero {x}=x

  so Ltx→0 ({x})1/x + (1/x){x} =Ltx→0 (x)1/x + (1/x)x

   apply limit

      Ltx→0 (x)1/x + (1/x)x       = 0 +1=1

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.
Askiitians Experts

6 years ago

Post Your Answer

Other Related Questions on Differential Calculus

WHAT IS THE SPAN OF A SET................................................?
In linear algebra, the linear span (also called the linear hull or just span ) of a set of vectors in a vector space is the intersection of all subspaces containing that set . The linear...
T Dileep 4 months ago
DEAR NAG, The linear span (also called the linear hull or just span) of a set of vectors in a vector space is the intersection of all subspaces containing that set. It is very useful thing.
SAI SARDAR 4 months ago
the subnormal at any point on the curve xy n = a n+1 is constant for?
The subnormal is constant for any value of x, y, and even n, . X, Y belongs to R and n belongs to N. Because given equation denotes a simple curve so subnormal have not any restrinction...
Pushparaj Patel one year ago
e x l og a + e alogx +e aloga
since we can write e xlog a =e log a^x =a x so the required answer is a x +x a +a a
Revti Raman one year ago
|a×i| whle squre +|a×j|whle square +|a×k|whle square +1= ??
It is 2mod(a)sq +1
Piyush one year ago
this it is 2mod(a)sq +1 and also another method we attemt that type of question then we can another time
RIYAZSHAIK 7 months ago
Sir que. No. 5.. can u help me... and if u hav some easy tricks to do this que.
For these type of problems you should convert all logs to a common base e. Also you should know graph of log function so that you can determine if Log a is greater or less than log b. . To...
Ajay 3 months ago
Here is rest of solution …................................................................................
Ajay 3 months ago
Shorter solution: 1/x = log 5 3 and 1/y = log 25 17 = log 5 >log 5 3 i.e. 1/x 0 we have x>y
mycroft holmes 3 months ago
I want to talk to an askiitians expert..............................?
@ navnette what exactly u want to know ?? if u want to talk to an askiitian expert and book a demo class with them , then contact the support team or drop a mail to them , they will get...
Umakant biswal 2 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

Get extra R 400 off

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details