If In=int0^(sqrt(3))(dx)/(1+x^n),(n=1,2,...

If `I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .),` then find the value of `("lim")_(n to oo)I_ndot` (a)0 (b) 1 (c) 2 (d) `1/2`

Text Solution

AI Generated Solution

Topper's Solved these Questions

INEQUALITIES INVOLVING MEANS
CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
INTRODUCTION TO VECTORS
CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

If f(n)=int_(0)^(2015)(e^(x))/(1+x^(n))dx , then find the value of lim_(nto oo)f(n)

If I_(n)=int_(0)^(2)(2dx)/((1-x^(n))) , then the value of lim_(nrarroo)I_(n) is equal to

Let: a_n=int_0^(pi/2)(1-sint)^nsin2tdt Then find the value of lim_(n->oo)na_n

The value of ("lim")_(n->oo)[(n+1)^2 3-(n-1)^2 3] is_____

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is (a) -1 (b) 0 (c) 1 (d) ∞

Let I_(n) = int_(0)^(1)(1-x^(3))^(n)dx, (nin N) then

If int_0^oo x^(2n+1)\ e^(-x^2)\ dx=360, then the value of n is___

Let I_(n)=int_(0)^(pi//2)(sinx+cosx)^(n)dx(nge2) . Then the value of n. I_(n)-2(n-1)I_(n-1) is

The value of (lim)_(n->oo){(1+2+3+...+n)/(n+2)-n/2}\ is a. 1 b . -1 c. 1/2 d. -1/2

If I _(n)=int _(0)^(pi) (sin (2nx))/(sin 2x)dx, then the value of I _( n +(1)/(2)) is equal to (n in I) :

CENGAGE ENGLISH-INTEGRALS-All Questions

The value of int0^pi (sin(n+1/2)x)/(sin (x/2)) dx is, (a) n in I, n >...
Text Solution
|
IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...
Text Solution
|
If In=int0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ...
Text Solution
|
int0^1(tan^(-1)x)/x dx is equals to (a) int0^(pi/2)(sinx)/x dx (b)...
Text Solution
|
If int0^1(sint)/(1+t)dt=alpha, then the value of the integral int(4pi-...
Text Solution
|
L e tI1=int0^1(e^xdx)/(1+x) a n dI2=int0^1(x^2dx)/(e^(x^3)(2-x^3))dot ...
Text Solution
|
int(sintheta)^(costheta)f(xtantheta)dx(w h e r etheta!=(npi)/2,n in I...
Text Solution
|
Let g(x)=int0^x f(t).dt,where f is such that 1/2<=f(t)<=1 for t in [0,...
Text Solution
|
The value of int0^(pi/2) sin|2x-alpha|dx, where alpha in [0,pi], is (...
Text Solution
|
IfIn=int0^pie^x(sin"x")^("n")dx ,t h e n(I3)/(I1)"is equal to" 3/5 ...
Text Solution
|
int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...
Text Solution
|
For any real number x, let [x] denote the largest integer less than or...
Text Solution
|
evaluate: int0^(pi/4)2tan^3xdx is
Text Solution
|
If f is continuous function and F(x)=int0^x((2t+3)*intt^2f(u)d u)dt , ...
Text Solution
|
Let f^(prime)(x)=(192 x^3)/(2+sin^4pix)fora l lx in Rw i t hf(1/2)=0....
Text Solution
|
If the value of lim(n rarr oo)(n^(-3/2)) sum(j=1)^(6n) sqrt(j) is equa...
Text Solution
|
f(x)=int0^x f(t) dt=x+intx^1 tf(t)dt, then the value of f(1) is
Text Solution
|
If I=int0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1...
Text Solution
|
The value of int1^a[x]f^(prime)(x)dx ,where a >1, and [x] denotes the ...
Text Solution
|
The value of int(0)^(x)[cost]dt, x epsilon[(4n+1)(pi)/2,(4n+3)(pi)/2] ...
Text Solution
|