MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

Q 1 ) limx---->∞ (√ x √ x + √x  -  √ x )


Q 2) limx---->∞  x3/2 √ x3 + 1   -  √ x3 - 1


ans : 1


Q 3)  limx---->∞   1/ 1-n4 + 8 / 1-n4 + ........... + n3 / 1-n4


ans: - 1 / 4


 

3 years ago

Share

Answers : (2)

                                        

the answer is infinity

3 years ago
                                        

Ans 3.


(1+ 8 + 27 + ... + n3)/1-n


Since 13+23+33+...+n3 = (n(n+1))2/4   then


the expression becomes  (n(n+1))2/4(1-n4)


= ((n)2(n+1)2)/4(1-n4)


dividing the whole expression ny n4 . Now the expression is 


=(1)(1+1/n2))/4(1/n4-1)


= No since n->infinity 1/n tends to 0 thus byu using direct substitutions 


= 1/-4 =-1/4


3 years ago

Post Your Answer

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
What is the value of 0 ∫ π/4 (cos 2x) 11/2 cosxdx ? (0 is lower limit and π/4 is upper limit)
 
 
|1/13*sin 2x^13/2| limit 0 to pie/4 1/13
 
Neha 4 months ago
 
|1/13*sin 2x^13/2| limit 0 to pie/4 1/13
 
Neha 4 months ago
 
|1/13*sin 2x^13/2| limit 0 to pie/4 1/13
 
Neha 4 months ago
integration of logx2
 
 
log x 2 = 2 logx and integration of logx is =xlogx – x,,using ILATE so the answer is 2(xlogx -x)
 
himanshu pandey 3 months ago
 
log x 2 = 2 log x So its answer is = 2( x logx + x ) Please approve if you like it
 
Shivam Chopra 4 months ago
in numerator first term is e raise to power integral part of x ….....please explain anyone please ...please...
 
 
Hi, Convert the expression into e^2x ( by eliminating the e^-x term) Now analyse. The denominator is always positive. Demoninator > Numberator always. Ie. values are less than 1. So not...
  img
Yash Baheti 8 months ago
for non-coplanar vectors a,b and c, the relation (a*b).c=a b c holds if
 
 
they are mutually perpendicular
 
Shubham Singh 23 days ago
help expain fully
 
 
Ans: © Limit of f’’(x) at x = 0 exists. Other data should be given which make the limit zero by zero form So it is zero by zero form. Apply L’hospital rule
  img
Jitender Singh 10 months ago
 
jitendra sir can you tell me how it is 0/0 form ….….…...no ther data is given....please
 
milind 10 months ago
In the figure given below, ABCDEF is a regular hexagon of side length 1, AFPS and ABQR are squares.Then the ratio Area (APQ)/ Area (SRP) equals
 
 
length of AP and AQ is as these are diagonals of square with side 1. Since AP and AQ are diagonals of square ASPF and ABQR respectively Also, due to hexagon property, angle between adjacent...
  img
Sandeep Pathak 7 months ago
 
Notice length of AP = = length of AQ. Also note and length of SR = length of SP = 1. so the two triangles are iscosceles with same angle between the equal sides. So the ratio of areas is...
  img
Sandeep Pathak 7 months ago
 
Sir , can you explain this answer with more steps.
 
Vineeth 7 months ago
View all Questions »