If `A={2x:x in N` and `x<3}`, B=`{x:x^(2)-4x+3=0` and `xgt1}`, then `A times B=`

If A={(1)/(x) : x in N and x lt 8}and B={(1)/(2x):x in N and x le 4} , find : (i) A cup B (ii) A cup B (iii) A-B (iv) B-A

If n is even and nge4,x_(1),x_(2),...,x_(n)ge0 and x_(1)+x_(2)+...+x_(n)=1, then P=x_(1)x_(2)x_(3)…x_n cannot exceed

If ninN and int(x^(7n)+x^(2n)+x^n)(2x^(6n)+7x^n+14)^(1/n)dx=(2x^(7n)+7x^(2n)+14x^n)^((n+1)/n)/(k(n+1))+c , then, k is equal to…

underset( x rarr 0 ) ( "lim")( x tan 2x - 2x ta n x )/(( 1- cos 2x)^(2)) is

Prove that in the expansion of (1+x)^(2n) , the coefficient of x^n is double the coefficient of x^n in the expansion of frac{(1+2x+x^2)^n}{1+x}

it is known for x ne 1 that 1+x+x^(2)+"….."+x^(n-1) = (1-x^(n))/(1-x) , hence find the sum of the series S = 1+2x+3x^(2)+"….."+(n+1)x^(n) .

int_(0)^(x)(2^(t))/(2^(lf))dt, where [.] denotes the greatest integer function and x in R^(+), is equal to (1)/(1n2)[(x]+2^({x})-1)(1)/(1n2)[(x]+2^({x}))(1)/(1n2)[(x]-2^({x}))(d)(1)/(1n2)[(x]+2^({x})+1)

The average of n numbers x_(1),x_(2),x_(3),..,x_(n) is M. If x_(n) is replaced by x', then new average is