If `(x/y)^(n-1 )=(y/x)^(n-3)` then the value of n is

For each positive integer n , let y_n=1/n((n+1)(n+2)dot(n+n))^(1/n) For x in R let [x] be the greatest integer less than or equal to x . If (lim)_(n->oo)y_n=L , then the value of [L] is ______.

Let x be the 7^(th) term from the beginning and y be the 7^(th) term from the end in the expansion of (3^(1//3)+(1)/(4^(1//3)))^(n . If y=12x then the value of n is :

The curve y=2e^(2x) intersect the y -axis at an angle cot^(-1)|(8n-4)/3| then the positive value of n is

Let A_n be the area bounded by the curve y = x^n(n>=1) and the line x=0, y = 0 and x =1/2 .If sum_(n=1)^n (2^n A_n)/n=1/3 then find the value of n.

(x+y)^(n) + (x-y)^(n) is equal to

If ("cos"(x-y))/("cos"(x+y))=m/n , then write the value of t a n x\ t a n ydot

x-y relation is given by y=x^(n) calculate the value of n in the following :- (i) y=(x^(2))/(x^(2//3)) (ii) y=(x^(3//2))/(x^(1)) (iii) y=(x^(1//2))/(x^(1//2)) (iv) y=(x^(3//2))/(sqrt(x))

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=(x-1)(x-2)(x-3)--(x-n),n in N ,a n df(n)=5040. Then the value of n is________