Home
Class 12
MATHS
If (lim)(n->oo)int(a-3)^(a3)(a-(t^3)/n)^...

If `(lim)_(n->oo)int_(a-3)^(a3)(a-(t^3)/n)^n t^2dt=(2sqrt(2))/3(n in N),\ ` then find the value of `' a '`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos

Similar Questions

Explore conceptually related problems

If t_(n)=(n+2)/((n+3)!) then find the value of sum_(n=5)^(20)t_(n)

If the value of lim_(n to oo) (n^(-3//2)) . sum_(j=1)^(6n)sqrt(j) is equal to sqrt(N) , then the value of N is________.

lim_ (n rarr oo) int_ (0) ^ (2) (1+ (t) / (n + 1)) ^ (n) d

lim_(n rarr oo)(2^(3n))/(3^(2n))=

lim_ (n rarr oo) ((n-1) (n-2) (n-3)) / (n ^ (3))

lim_(n->oo) [ (1^3+ 2^3 + 3^3 -------n^3)/n^4]

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

The value of lim_(n rarr oo)(sqrt(3n^(2)-1)-sqrt(2n^(2)-1))/(4n+3) is

Let I_(n)=lim_(x rarr oo)int_(e-x)^(1)(ln(1)/(t))^(n)dt(n=1,2,3,...) then which of the following is(are) INCORRECT?