Home
Class 12
MATHS
Statement I : The largest term in the se...

Statement I : The largest term in the sequence
`a_(n)=(n^(2))/(n^(3)+200),n inN is (400)^(2//3)/(600)`
Statement II : If `fx=(x^(2))/(x^(3)+200),xgt0,` then at `x=(400)^(1//3),` f(x) is maximum.

Promotional Banner

Similar Questions

Explore conceptually related problems

The largest term in the sequence a_(n)=(n^(2))/(n^(3)+200) is given by

The largest term of the sequence lt a_n gt given by a_n=(n^2)/(n^3 + 200),n in N . Is

Statement 1: If is a sequence such that a_(1)=1 and a_(n+1)=sin a_(n), then lim_(n rarr oo)a_(n)=0. Statement 2:sin cex>sin x AA x>0

Statement 1: The coefficient of x^n is (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !))^3 is (3^n)/(n !) Statement 2: The coefficient of x^n ine^(3x)i s(3^n)/(n !)

Statement 1: The coefficient of x^n in (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !))^3 is (3^n)/(n !) . Statement 2: The coefficient of x^n in e^(3x) is (3^n)/(n !)

Statement 1: The coefficient of x^n in (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !))^3 is (3^n)/(n !) . Statement 2: The coefficient of x^n in e^(3x) is (3^n)/(n !)

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

Statement 1: The coefficient of x^(n) is (1+x+(x^(2))/(2!)+(x^(3))/(3!)+...+(x^(n))/(n!))^(3) is (3^(n))/(n!) Statement 2: The coefficient of x^(n)ine^(3x)is(3^(n))/(n!)