lf `1+ 2 + 3 +....... +49 = x`, then `1^3+2^3 + 3^3 +..........+49^3` is equal to (A) `X^3` (B) `X^2` (C) `X^2+X` (D) none of these

x^((x-1)- 1/2 (x-1)^2+1/3((x-1)^3).- 1/4((x-1)^4).+…….. is equal to (A) 2logx (B) logx (C) x^2 (D) none of these

If f(x) = | x | + [ x ] , then f( -3/2 ) + f( 3/2 ) is equal to : ( a ) 1 ( b ) -1/2 ( c ) 2 ( d ) 1/2

If x=49 , then x^(3) - 5x^(2) - 2x - 6=?

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these

At x= (5pi)/(6), the value of 2 sin 3x+ 3 cos 3x is............. A) 0 B) 1 C) -1 D) None of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

The area {(x,y);x^(2)<=y<=sqrt(x)} is equal to (1)/(3) b.(2)/(3) c.(1)/(6) d.none of these

lim_(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these